Logarithms… How? (NancyPi)

Published on August 19, 2018 by

MIT grad introduces logs and shows how to evaluate them. To skip ahead: 1) For how to understand and evaluate BASIC LOGS, skip to time 0:52. 2) For how to evaluate weirder logs, including the log of 0, 1, a FRACTION, or a NEGATIVE number, skip to time 6:44. 3) For NATURAL LOGS (LN X), skip to time 11:17. 4) For even weirder logs, including SOLVING for X and using the CHANGE-OF-BASE formula, skip to time 14:56. Nancy formerly of MathBFF explains the steps.

Follow Nancy on Instagram: https://instagram.com/nancypi
Twitter: https://twitter.com/nancypi

1) BASIC LOGS: you can read log notation as "log, base 3, of 9 equals X". The small (subscript) number is called the base. You can always evaluate a log expression by rearranging it into something called exponential form. Every log expression is connected to an exponential expression. In this example, the log is connected to the exponential form "3 to the X power equals 9". This means, "3 raised to what power gives you 9?" Since 3 raised to the power of 2 equals 9, the answer for X is 2. This is also the answer for the value of the log expression. The log is always equal to the power (or exponent) in the exponential version, and in this case it equals 2. If you want, you can find the log value in your head just by asking yourself what power you need in order to turn the base number into the middle number ("argument" number). Note: if there is no base number in the log expression (no little subscript number), then the base is 10, since 10 is the default base.

2) WEIRDER LOGS (log of 0, 1, a negative number, or a fraction): you can use the same steps to rearrange log expressions that have a fraction, negative number, 0, or 1 in them. You can still rearrange them to be in exponential form just like you can with the basic logs from earlier. The log of 1 will always be 0, since 0 is the only power that can turn a base into 1. The log of 0 will always be undefined, since no power can turn a base into 0. The log of a negative number is undefined in the real number system, since no real power can turn a positive base into a negative number.

3) NATURAL LOGS (ln x): the natural log is just a special type of log where the base is e (the special math constant e, which is approximately 2.718 if you plug it into your calculator). You can use the same steps for rearranging the log expression into exponential form. Just remember that ln x means log, base e.

4) EVEN WEIRDER LOGS (solving for X, change-of-base formula): even if there is an X variable in the log part of an equation, you can still rearrange the equation into exponential form. This will let you solve for X. Sometimes you might need to use the change-of-base formula to evaluate a log expression. If there is no whole number power you know that works, it may actually be a decimal power that you can find by using the change-of-base formula. For example, you can re-write log, base 2, of 7 as (log 7)/(log 2) and use your calculator to find the decimal number if you need it.

For more of my math videos, check out: http://nancypi.com

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  • AnimePianoAngel 4 years ago


  • Julian Mungarro 4 years ago

    Hello my queen

    • WalkOn Bye 4 years ago

      Julian Mungarro Let me guess with an IQ of about 83 math is not your strong point.

    • Master Oogway 4 years ago

      Julian Mungarro fedora in your profile pic perfectly complements your comment

    • Brandon Studie 4 years ago

      @Jeffrey JeffreyFLF How are they a perverts by just saying that she is a queen? Come on bro.

      don’t sue me for defending a man..

    • Fabu Nan 4 years ago

      This comment killed me 😂😂😂

    • 💁 4 years ago

      She’s a peasant not a queen

  • AnimePianoAngel 4 years ago

    Can you make videos about linear algebra and more difficult calculus? That would be great!

    • Asjad Rehman 4 years ago

      AnimePianoAngel really would love to see that

  • Mohammed Rabee 4 years ago

    Beautiful Nancy 😍

  • RemiX. 93 4 years ago

    @nancypi could you do a video on laplace transform, Fourier series and differentiation. Thanks

    • dxutube 4 years ago

      LMAO thought you said “lapdance transform”!

  • saurabh jajoria 4 years ago

    Nice video nancy

  • juan aleman 4 years ago

    Hey nancy really love your videos! Greeting from Ecuador

  • Maths With Melv 4 years ago

    Very nice 🙂

  • mish ㅎㅅㅎ 4 years ago

    I literally have an exam in a few hours with this topic lol

    • Motaz Dwidar 4 years ago

      Same Here 😀 😀 Final Exam xD

    • The Blue Recruit 4 years ago

      nakanokana I have a test on this in 20 minutes

    • oscar ortiz 4 years ago

      The Blue Recruit okay me 😭😭😭

    • Black central Talk 4 years ago


    • Cryptics iOS 4 years ago

      That’s me

  • Omer Sohail 4 years ago

    Awesome!! Thank you for this. You’re excellent at explaining

  • Budhathoki Bijaya 4 years ago

    Hey nancy ,i thought you abandoned channel ?? can you pls upload videos more frequently !?

  • sanchit yadav 4 years ago

    can you make a whole video on probability…. my frns and i realky need it.

  • Mohsin Jawaid 4 years ago

    It will be very thank full. Thanx Nancy.💓

  • sanchit yadav 4 years ago

    my ques is whats your daily routine, and how to be good at maths..by what to do everyday

    • Sneaky1ne 4 years ago

      do math everyday, I did 6 hours of maths 5 days a week for the last year and I improved , by How much it
      s subjective.

  • News students 4 years ago

    I like your smile and thank you

  • Ajay Singh 4 years ago

    how are you writing like that. cuz i think you are writing right to left. what is going on

    • James Parlane 4 years ago

      I think she has a glass black or white board.

    • Ken 4 years ago

      There’s a pool of mercury on the floor that the camera points to. That reflects off of a concave mirror on the ceiling which then focuses the light into an optical spectrometer. At this point the individual wavelengths of light are broken up into their corresponding quanta and rerouted through a dimensional polarity amplifier using a coherent phase emitter.
      All of this is then recorded on twelve 1.44MB floppy disks using a harmonic neutrino field array. Tetryon ion injectors then transfer the data to a base modulator, which, of course, is uploaded to youtube.

    • James Parlane 4 years ago

      Of course, that could only be it. How about string theory? Where would that fit in. I bet you a subscription to Penthouse that it will fit in somewhere. The big question will then be will the end of the universe happen as a freeze up or a melt down?

    • James Parlane 4 years ago


  • Abel Lopez 4 years ago


  • Keith Oleniacz 4 years ago

    Nice video Nancy. Thanks

  • Mr.Mister 4 years ago

    It’s okay Nancy. I like both Maths and your video.

  • guy man 4 years ago

    Thank you

  • Ch. Engineer 4 years ago

    Mathematics- vectors please

    • Levi 4 years ago


    • Francis Halloun 4 years ago

      YES Please

    • Sssstupid kid 4 years ago

      vectors are really not complicated, you cold just get a maths book

    • Sssstupid kid 4 years ago

      there’s a great computer graphics book which explains this

  • Elizabeth Rocha 4 years ago

    I’m on summer vacation and I’m still watching.

    • 2017 Was cancer 4 years ago

      Was goodie brothers why we doing this is too learn pre calc or calculus

    • Heroic gamer 4 years ago


    • techie vikie 4 years ago

      @2017 Was cancer ur nme 😆

    • Latina K 3 years ago


    • techie vikie 3 years ago

      @Latina K hi

  • Chintu Prasad 4 years ago

    No doubt you are the best your explanations are mind blowing…

  • Allen of Atlanta 4 years ago

    Hi Nancy, I am so glad that you addressed log in this video. When I reviewed logarithms I did wonder why logarithms of ” any base” raised to infinity cannot be treated as equaling ” zero?” I have not reviewed calculus yet, but I do seem to recall that was the way expressions and real numbers were treated to evaluate them for their derivative. Would this not be logical?

    • Sneaky1ne 4 years ago

      I have no idea how you can reach this conclusion. A log of any base raised to infinity: ( log(5) )^inf. <=> inf*log(5) = inf. this is pretty straight forward. Now if you mean: log(inf) = zero. OR the limit ( as y -> +inf ) of Log(y) which is = +inf. Maybe I don’t understand your question.

  • David Shaw 4 years ago

    I thought ln was used for solving indicies

  • Ertugrul 4 years ago

    Can you teach geometry? And if you guys have a good source to share with me to learn geometry, it would be great.

    • Sneaky1ne 4 years ago

      Check out the website mathisfun, just google it, it has A LOT of things including geometry and it’s free.

  • James Parlane 4 years ago

    I have seen this stuff somewhere berore 40 years ago. I wonder ??? I am weird but ddon’t know why you need these? It is interesting now though.

  • James Parlane 4 years ago

    I am apparently an Aspie. I seem to be able to work these out in my head. Am I using the force?

    • Walt R. Buck 4 years ago

      James Parlane these aren’t too complicated. I’d say you were normal using a little brain power.

  • Kevin Patricio 4 years ago

    I’m only here for the ASMR.

  • James Parlane 4 years ago

    Was this Babich guy just a trouble maker?

    • James Parlane 4 years ago

      Sorry, Babbage?

  • Kayla Wagner 4 years ago

    Thank you, Nancy! This is so helpful. Please keep on being such a blessing!

  • boredgrass 4 years ago

    There’s a new branch of Mathematics, to be called Humane Mathematics! 😉

  • hade ur mom 4 years ago

    Is she writing backwards?

    • davetileguy 4 years ago

      That’s why I want to know!

  • Rick Shafer 4 years ago

    The fact that logs never go to zero should scrape your degenerate minds out of the negatives to realize the absolute truth of the Riemann Zeta function.
    Leave Nance alone you filthy animals.

  • OrphanPaper 4 years ago

    thanks loads of fun

    • PrimiusLovin 4 years ago

      haha, said no one ever!

  • axel dego 4 years ago

    How write 😌😌

  • rav ernot 4 years ago

    Good video but I was really hoping to learn how to calculate the less tidy logs like log(7). Thanks for the video.

  • Ken 4 years ago

    1:25 “more power to you”
    I see what you did there.

  • Kai Kunstmann 4 years ago

    x^5=32 has 5 distinct solutions… x=2 is only the most simple.

    • Senpai 4 years ago

      Please sir, explain other four

    • Mountain Herb 4 years ago

      @Senpai The other four solutions are complex numbers. Write x = r exp(i phi), so x^5 = r^5 exp(5 i phi) = 32. Solution requires exp(5 i phi) be a real positive number, which only happens when (5 i phi) is an integer multiple of 2pi. So the five solutions are: 2, 2exp(i 2pi/5), 2exp(i 4pi/5), 2exp(i 6pi/5), and 2exp(i 8pi/5).

  • Xavier Rodriguez 4 years ago

    about damn time we get some vids……………………..<3

  • Ronald Jensen 4 years ago

    I find it oddly sad that basic math teaches log defaults to base 10, and yet programs like Mathematic and R use e as the default base for log. Who really cares about base 10 anyway?

  • MrVoayer 4 years ago

    Very nice presentation. You probably could have said that
    ln e = 1
    log 10 = 1
    log base b of ( b ) = 1
    Anyway, very nice presentation, indeed. Keep up with good and valuable videos!

    • Senpai 4 years ago

      e=2.718 it is not equal to 1 as it is known as Euler’s constant

  • blackpearl 4 years ago

    Can u make vedios on applications of derivative. (AOD)

  • Sebastian 4 years ago

    Hmm…I’m getting dejavú or was this already a video made by you?

  • Mikha'il Paragon 4 years ago

    Hi Nancy! I just graduated as a Electronics & Communications Engineering. Thank you for saving me from my college days.

  • James Parlane 4 years ago

    But Romans go home is an order is’nt it boy? So you must use the?????? Imperitive.

  • ragava r 4 years ago

    Can u pls do videos on integrations…

  • moosekabob2piplus1 4 years ago

    can i see your set up, i want to start doing this for my 8th graders. Thanks for the easy videos for them.

  • Zorrow Morrow 4 years ago

    nice work again Nancy, thank you, what about some different bases like 1 , 0 or a negative one?

  • Royal Dara 4 years ago

    very gd miss perfrct. ur explaination jst awsn..
    im 4rm india n i wanna meet u once

  • Indian Gaming Bro 4 years ago

    Sister Nacypi Is Wilson is your another YouTube account.

  • Bravo Zulu 4 years ago

    @NancyPi – Love your channel and have been following since mathbff, could you please do a video explaining Newtons Method?

  • Andrei Aclan 4 years ago

    Why are you so pretty?

  • Chaminda Silva 4 years ago

    Thanks for teaching me Logarithms.
    Nancy,We know that
    Then, Log 100=2
    2=Logarithm of 100 to base 10.
    Isn’t it easy?

  • Chaminda Silva 4 years ago

    Nancy,try to include the following formulas to your next video.
    Log (A*B)=?
    Log A^n=?
    Please teach me.

  • Varun 4 years ago


  • Amanda Brito 4 years ago

    can you do more videos about calculus? love ya

  • Devan Illusive 4 years ago

    I just found the new channel. Perfect timing because I start calc 1 on Monday.

  • El lord Ali 4 years ago

    Nice to see u nancy you look skinny

  • Cody Brown 4 years ago

    Shiiiit! Gorgeous

  • James Brown 4 years ago

    I remember trying to solve logs back in highschool and just not grasping them. This explains the process so well! Nice work Nancy!

  • quantumbrewer 4 years ago

    Nancy, ln (-1) = pi * i, where i = sqrt(-1)

    • quantumbrewer 4 years ago

      I know that the ln funciton is really undefined for negative numbers, but if it’s okay to say that the infinite sum of all positive integers is -1/12, then NancyPi needs to have her own untrue, but popular, fact.

    • the Jiminator 4 years ago

      An equivalent statement is e^i*Pi = -1 . Of course, one should note the periodic nature in this result.
      As a matter of fact, it was once believed log(-x) = log(x) from the fact multiplying LHS and RHS by 2 gives log(x^2).
      Euler was the first to give the result that ln(-1)= PI*i
      Students learning at this level don’t come across that quite yet hence why she stated log(-x) is undefined.
      Its also useful to understand that b^x > 0 (b>0) (for real x) hence log(-x) is undefined for real numbers.

    • the Jiminator 4 years ago

      Euler was the first to connect logarithms with exponential’s. Roger cotes knew that ix = ln(cos(x) + isin(x)) but missed its periodic nature.

  • Grover Smittle 4 years ago

    At 9:26 you say that any number raised to 0 equals 1. How is that possible? Why wouldn’t it equal 0? Since 2^2 is two times itself=4, and 2^3 is two times itself three times =8, wouldn’t it follow that 2^0, being two times itself 0 times, =0?

    • Fufu-Trap ! 4 years ago

      Grover Smittle 2^0 doesnt mean 2 x 0

    • Sssstupid kid 4 years ago

      @Fufu-Trap ! yeah it’s actually non-sensical 2^1 is 2, 2^2 is 2*2 is 4, 2^3 is 2^2^2 is 8

    • pdhelper 4 years ago

      we know that x^a / x^b = x^a-b,
      x^a / x^a =1
      3/3 = 1
      so what if i wrote x^3 / x^3, it would be equal to one also the if we subtract the powers we get
      x^0=1, hope this helps

    • Hydrastic 12117 4 years ago

      I like to think that by decreasing an exponent by one divides the power by the base. 3^2/3^1=3^1 3^1/3^1=3^0=1

  • Brendon Patterson 4 years ago

    I quit bff for you, Nancy, you the real mvp

  • Prince 1022 4 years ago

    Hey ! I understood the entire idea, but why does it help when dealing with questions like 3^x =9 without using a calculator (for a lot more complicated questions)

    • Sheren Lin 4 years ago

      I mean if you simplify 9 it becomes 3^x=3^2 so you know for it to be true x=2. You don’t need a calculator to simplify 9…

    • Howard Lam 4 years ago

      @Sheren Lin I think he meant general application of log. One application is when you have gamma function ratios involving an integer n, and you want to take n outside so you know how many for how many n you reach a certain bound. f(n) < C(n). Then you can use Stirling approximation to express n in simpler function involving log than gamma function.

    • bighand69 4 years ago

      Certain things are us logs such as decibels. So they have an application. Richter scale also uses logarithms.

  • Rick Shafer 4 years ago

    Ever notice how the identities of addition and multiplication are shown in log1 =0 ? Can’t have the log of 0 or anything less.
    Food for thought.

  • Okasha Khan 4 years ago

    Nancy, That is really helpful. Easy and thought provoking lecture.

  • Tom Atencio 4 years ago

    The hardest part for me was do I want to look at you or your examples!!!

    • Maya 4 years ago


  • Maya 4 years ago

    What do u do when u have log√x

  • Gillon Wilson 4 years ago

    just started college thanks for the video it really helped and wasnt boring

  • f car 4 years ago

    The one Nancy did for… Log base 2 of (1/8) …can also be done using the Change of Base Formula …she shows in the last example.

    • David Sinange 4 years ago

      How do you find a logarithm of a fraction with a numerator that is greater than 1

  • Oh hey Kay 4 years ago

    Hey Nancy, could you do a video on logarithmic differentiation. I love your videos by the way.

  • theoneandonlyKJ 4 years ago

    Damn girl, nice brain.

  • Noura Als 4 years ago

    Thank you for making my life easier 🙂

  • Lovelyswirl 4 years ago

    thankkkk youuuuu!!! you should teach my math teacher how to teach

  • txtbts hoe 4 years ago

    Thank you for saving me 😄🤗

  • desrick2006 4 years ago

    thanks nancy, you are the best 🙂

  • RyRow 4 years ago

    Thank you so much Nancy! Great well structured video

  • Game Changer 4 years ago

    Nice like it

  • ThisManQ-C 4 years ago


  • Charles Gangmeih 4 years ago

    New subscriber😍😍

  • ThaProfetPR 4 years ago

    I assume this means that for any and all lne^y =x; x = y.

  • Moe Haroun 4 years ago

    love yaaaaaaaaaaaaaaaaaaaaaaaaaa

  • Ibn Abad Alamwi 4 years ago

    you made me fall in love with LOG-Rythmez. nothing weirds not even the weirder. 😀

  • mrsuperdudly1 4 years ago

    did u write backwards to make this video i donut understand

  • Cipta Cambo 4 years ago

    I am 40 and I’ve gone back to Uni, your videos are really helping me, you’re awesome.

  • Deepak Desai 4 years ago

    hi mam! thaks for excellent artship in teaching

  • Just Me 4 years ago

    They didn’t teach us some of these things properly in class. We have exams tomorrow too :<

  • William Welmans 4 years ago

    Very nice teaching !

  • Evan Wilson 4 years ago

    This was very informative and just what i needed! Thank you so much! If you can do video requests, could you do a video on Matrices???

  • Reginald Finley 4 years ago

    Beautiful. Thanks!

  • Mr. A.B.S 4 years ago

    How can I study if I got such a hot teacher like u can’t get my eyes off from u😍😘

  • David 4 years ago

    ty Nancy 🙂

  • Puliyankotta Puli 4 years ago

    Could you please do a video on Statistics (standard deviations)

  • Bryan Gagné 4 years ago

    wow amazing!!

  • Gil Gamesh 4 years ago

    omg, how do you write like that? also, good video!

  • JESNA JOSE 4 years ago

    U really look gorgeous😍

  • Ritesh A 4 years ago

    Thx . Exams tomorrow

  • Pistachios Lyrics 4 years ago

    Please do SIMPLE AND COMPOUND INTEREST. please 😢😢😥. You’re awesome 💕

  • Archer 4 years ago

    Is anyone else extremely confused as to how she is writing while looking at us without the letters being inverted?
    And what is that, an invisible board?
    I’m so confused, but it looks cool.

  • Gurmukh Singh 4 years ago

    Thanks for this great tutorial 🙂 Just wanted to point out that the fifth root step was missing in the example given at 16:17 of the tutorial for the following example:

    logx(32) = 5
    x to power 5 = 32

    5√32 = 2


  • Donald Page 4 years ago

    Where were you 40 years ago when I was in high school?

  • ULVİ BALCI 4 years ago


  • Nidhin Raj S R 4 years ago

    Logarithms… Who cares? (NancyPi 😍😍)

  • Brian Patrick Finnegan 4 years ago

    Im glued to the screen

  • Art Of The Beast 4 years ago

    lass what happens if you have a fraction infront, (1/2) log3 36 – log3 2

  • sujita singh 4 years ago

    your voice is very convincing……. I like the way you explain

  • sujita singh 4 years ago

    Are you an introvert????? You don’t sound cheerful……cheer up

  • Jake Rodgers 4 years ago


  • Overlord Galvatron 4 years ago

    Smooth way of asking for a LIKE lol

  • yemen sharabinTV 4 years ago

    ممتاز جدا
    من اي بلد انتم

  • Kannan Ramaswamy 4 years ago

    How does she write on the screen, is she mirror writing?

  • Prof L Axis 4 years ago

    NancyPi: Making maths beautiful again. Great teacher too.

  • ANAND 4 years ago

    *Looking gorgeous*

  • Zakariye Mahamad 4 years ago

    Fantastic explanation

  • Samarth Patel 4 years ago


  • Ali Al 4 years ago

    عفية عليچ حلوة وذكية

  • GahVeeNoh 4 years ago

    Thank you for helping me pass my classes!

  • Anurag kumar Pandey 4 years ago

    You explain in very well manners it’s too good and learning with you without doubt increase more concentration , since u r too cute

  • James01100011 4 years ago

    the backwards writing mirror or video flip thing makes this hard to watch as its very distracting.

  • Victor Victor 4 years ago

    All Meant to Keep us Distracted from the Truth .

  • vijay kumar 4 years ago

    No one will absent his class if a teacher like yu teaches. You are beautiful by knowledge and by face too

  • Dustin Krejci 4 years ago

    So what kind of math is this? I need to learn more math.

  • Chika Uche 4 years ago

    Nancy could you do a video on financial arithmetic

  • Abas Kamal 4 years ago

    surreal…how she writes

  • Troll under your mom's bed. 4 years ago

    Jennifer Connelly’s younger sister.

  • Ako ci Ehmong 4 years ago

    You are hot, if you are my teacher I will be listening to you all night long.

  • J A 4 years ago

    watching high energy people do math stresses me TF out. Nancy is so chill that it’s actually a little relaxing.

  • Rihlus 4 years ago

    These had been bugging me for a while but I understand now. Very helpful video, thank you Nancy!

  • John Z.M 4 years ago

    Thank you Nancy 🙂

  • nicenaye 4 years ago

    You saved my life with this video! Thanks 1000x

  • Black Ace Records 4 years ago

    how come that she writes the opposite side of us and still manage to write all of this without even a spelling mistake?!

  • The King 4 years ago

    She writes backwards better than I write forwards

  • Jay Khan 4 years ago

    well done mate

  • karabo phune 4 years ago

    thank you so much Nancy.God bless you.u really saved me .i now understand the concept better

  • samuel clarke 4 years ago

    Hi Nancy.. I find it very hard to follow as yu explain.. can yu get a bit uglier😊😊 so I can’t focus less on yu..

  • D S 4 years ago

    You remind me of Aubrey Plaza. Thank you, great explanations.

  • Priscilla Baez 4 years ago

    You’re very clear on how to explain things. Really understood it better after watching your video compared to teachers that love to teach so fast.

  • The Coverists 4 years ago

    D.a couldnt focused lmao

  • Utente 4 years ago

    Thanks a lot, hi from Italy 🇮🇹

  • Nelson Ihemeson 4 years ago

    I love you’re explanations

  • ATYLIN TAKAVADA 4 years ago


  • Jeffrey Chavey 4 years ago

    Great explanations! But natural log is represented as ln and not nl .. ??

  • Tomi Kis 4 years ago

    your cuteness makes learning very difficult. i like that.

  • Taül Guedí 4 years ago

    Logs and ln made me quit maths when I was young. Thank you so much for that. You really deserve that like. I am so happy right now! Thank you very much, Nancy! 🙂

    • bighand69 4 years ago

      They simply should not be taught to school children. Kids are covering far too much mathematics and are then leaving school with no foundation in mathematics.

  • Thom Poz 4 years ago

    She’s pretty.

  • Alvi Khan 4 years ago

    You r beautiful

  • TMW Entertainment 4 years ago

    Thank you!

  • DerpMan 4 years ago

    Can someone just give me the answer for 2x(squaredplus2)=16 help me

  • Mia Archibald 4 years ago

    she looks like the nun from nacho libre

    *cue nacho voice*


  • Chaous Spiral 4 years ago

    YOur hot you seriously graduated from MIT are you single? The stuff that your teaching I learned it without a teacher in 1 sec by using a calculus book

  • Grey 4 years ago

    Damn, 3D pens nowadays surely has a sky rocketed update

  • TheGoodGamer 4 years ago

    sorry i couldnt pay attention <3

  • 310 4 years ago

    Snail-log-natural= garden

  • Charity Pitts 4 years ago

    Yes Nancy!!! So easy to understand!! God bless you!

  • Phineas 4 years ago

    She is so good at drawing backwards 😮

  • Amy Daugherty 4 years ago

    You are too cool

  • SueSage Asmr 4 years ago

    You saved my life! I have a test this wk and I was having a hard time grasping these concepts.
    Thank you!!! 💕

  • Muhammad Arif 4 years ago

    Which software do you use for the video, specifically the mirror one.

  • 50 Quid 4 years ago

    I liked your video before i watched it!

  • Loïc Rutabana 4 years ago

    Great video but if you could only speed up by a bit, your videos would be much better

  • Garry Perrin 4 years ago

    Thank you. Are you writing backwards?

  • kirill massey 4 years ago

    Can someone help me with ln W^5=t ??? Please?

  • kerry bonin 4 years ago

    Thank you so much Nancy!

  • jon gimbo 4 years ago

    How does this marker board work?

  • ffggddss 4 years ago

    I like your approach. And I think some of the comments here, show that you’re having a real, positive effect.
    If I might, I’d like to offer a few minor, constructive (I hope) criticisms.

    Around 4½ min: “log” without an index automatically means base 10; common log?
    Actually, in a fair number of places, it means base e; natural log. I think your viewers need to be made aware of that.

    Around 11 min: log(–1), undefined.
    Good for the basics; but it might be good to hint that this becomes possible later, when we find a new kind of number that we’re not going to go into right now. This sparks some interest, by creating a little mystery – the curious will start asking questions and doing some searches, and who knows what might come of that?

    At the end: log₂7 = log7/log2.
    You didn’t show the value; the decimal.
    That’s a good thing!!
    Once again, there will be some who are curious enough to go try this, to see what they get.


  • A.shakur Ahmed 4 years ago

    I love you

    • WalkOn Bye 4 years ago

      A.shakur Ahmed She is older than 10.

  • Ernie Estrada 4 years ago

    never mind logs I’m still trying to figure out how you write backwards.

  • Robert S 4 years ago

    You make math sexy

  • daschc01 4 years ago

    Do you write backwards?

  • Martin Carter 4 years ago

    Yes , but what practical purpose do they have apart from giving students a headache ?

    • Ryan Ramsay 4 years ago

      Absolutely nothing mister their fucking us over everyday, your lucky you missed the wave

  • Jake Rodgers 4 years ago

    Oh f***, its Nancy 🙌❤

  • Raevenswood 4 years ago

    thanks. Enjoyed your clear method of explanation the snail thing is helpful too. Time to watch your next video on solving Logs.

  • Charles Clements 4 years ago

    How long did you have to practice to where you could write backwards like that? Do you think writing like that could give you dyslexia? I heard that De Vinci wrote like that.

    • JoyBlack 4 years ago

      she’s writing normally with her right hand then flipping the video

    • Charles Clements 4 years ago

      Oh, really, wow. For a while there, I thought that she was really pulling off a great stunt. Thanks for straightening me out.

  • Eternal Star 4 years ago

    am I the only one that notices you write all of it mirrored-ly (backwards to appear to us as normal????)

  • IMAGE 7 4 years ago

    Awesome teaching

  • / 4 years ago

    way better than the khan academy bits that ive seen about logs

  • Martin Ezequiel 4 years ago

    I now have a reason to care about logs.

  • Cari 4 years ago

    11:50 natural logs

  • NumChuck Lee 4 years ago

    cool refresher, i had forgotten all the details

  • Dick Tracy 4 years ago

    If she had been my Trig teacher in high school I would have had a crush on her and flunked.

  • Silvia Guerrero 4 years ago

    Hablo español y estoy viendo esto lol
    Practicando inglés (? haha

    • chris45627 4 years ago

      Silvia Guerrero Jajaja Que inteligente . Asi después que aprendas inglés puedes aprender la mathematica. Pero el inglés es mi primer idioma y no entiendo ni papas

  • Leeya 4 years ago

    Not to distract u or anything but if u slow it down to .5 speed she sounds like a stoner and it’s hilarious ok bye

  • Brittney La Borde 4 years ago

    Lifesaver 😭😭😭

  • Jayyy Zeee 4 years ago

    I’ve been just using the log rules all these years without noticing this. The log and exponentiation notation has always seemed weird to me. I wish I’d known this 30 years ago. Also, I’m super impressed by your ability to write backwards so neatly!

  • Bluuplanet 4 years ago

    You know…..she’s right handed.

  • svily0YT 4 years ago

    Quite a skill… to mirror like this.
    Did you train it or did you have it… out of the blue?

  • Daein Ballard 4 years ago

    What I want to know is how long it took you to learn how to read and write in a mirror image like that?

  • Junaid Arshad 4 years ago

    You know the instructor is a pro when he/she does pronounce ln as lun!

  • Nizam Nafeel 4 years ago

    Nice.i like you Nancy

  • Jake Zgab 4 years ago

    Educational to say the least.

  • Caitl Lync 4 years ago

    I am totally nerding out. I love listening to you. So organized and everything you are saying makes perfect sense.

  • Oathusa Tuelo 4 years ago

    You mentioned that a log without a base is automatically 10 so if we have something like this:log 50 will the base still be 10?

    • Trudiann Morris 4 years ago

      yes it would be

    • Oathusa Tuelo 4 years ago

      Can you demonstrate for me please😢😢I am kinda struggling

  • โชค ดี 4 years ago

    Arghhhh!!! Cannot focus!! She is so beautiful!!! 😂😂😂

  • Steve Johnson 4 years ago

    Thanks, Nancy – very nice explanations, and a great methodology for solving these problems.
    You might want to discuss where logs came from, and how they were originally used (as a way to approximately carry out large multiplications via addition).
    Also, your approach and answers are true for the Real numbers (lots of other interesting answers for log(-8) when Imaginaries, quaternions, or octonions are involved 🙂

  • MrTeknotronic 4 years ago

    Wait.. Are you writing in reverse?

  • toxicgraphix 4 years ago

    is this done with video effects, or are you writing backwards on a piece of plexiglass in front of you?

  • Steph G 4 years ago

    Thank you so much really helpful also i cant help but notice how beautiful you are

  • David Schmiedeberg 4 years ago

    Are you actually writing backward on a transparent board?

  • Matthew Davies 4 years ago

    Never in my life did I wish for a math problem to be more complex than it is. A lot more. Ahh well.

  • xo ox 4 years ago

    very nice explanation ! :-b

  • Glenn H 4 years ago

    Lefties who can write backwards are so hot! 
    I wish the Nuns teaching me back in the dark ages thought so, instead of hitting me with a ruler. Ah the good ole days…..:-)

    • Mike Frolik 4 years ago

      I’m glad somebody else noticed this. Watching her write on the glass has been blowing my mind.

  • chris Bruner 4 years ago

    What’s even more amazing, is she’s writing it backwards to it looks forwards to us! 🙂

  • A Singh 4 years ago

    So perfect…

  • Shiba Imtiaz 4 years ago

    Thank you so much for your hard work and clear and concise explanations.

  • Bad Bricks Productions 4 years ago

    You are a life saver.

  • darkhorse21xx 4 years ago

    Consider that everything she is writing from her perspective is “backward” as she is on the back side of the clear pane.
    Gives you a small indication of just how brilliant she is.

    • deezynar 4 years ago

      She is writing normally, the video is flipped left/right.

  • Jaap Ongeveer 4 years ago

    Thank you for making all this easy to understand. It makes self study possible.

  • Thinking Aloud 4 years ago

    You manage to smile while you do math

  • Frankie 4 years ago

    I love how you thoroughly explained each example!!!! AWESOME!!!!

  • Laura Rankin 4 years ago

    Beautiful armpits. I wonder how they smell. Can I sniff?

  • davidsirmons 4 years ago

    I’ll be a sexist dick and say “I’d love to show her my log rhythm.” 😀
    Nothing sexier than a smart lady who’s attractive. <3

  • Eliot Walter 4 years ago

    ?sdrawkcab gnitirw ehs sI – Is she writing backwards?

  • ballertips 4 years ago

    This was the best title

  • David Smith 4 years ago

    I’m over 40 and never understood logarithms. Now, thanks to you, I do. Thank you for the fantastic explanation. You’ve taught an old dog a new trick!

  • FancyShoesVlogs 4 years ago

    what is the purpose of logs?

  • Destian Light 4 years ago

    Maths must now be PC those patriarchal inspires Logarithms.

  • F96 4 years ago

    Awesome teacher, quality instructions and a very very cool name (NancyPi) ! Subscribed.

  • Matthew 4 years ago

    Awesome job explaining, the snail analogy is great! Also I’m impressed how easily you wrote everything backwards.

  • Mosio Masoud 4 years ago

    Great explanation 👍🏻

  • ZWheel 1 4 years ago

    Everybody’s commenting on the math or how pretty she is… I’m over here trying to figure out how the heck she learned to write backwards so well!

    • qwertyui90qwertyui90 3 years ago

      I know how she does it, but I’m sworn to secrecy.

    • Kudo Supremo 3 years ago

      Its cuz of the camera

    • Kudo Supremo 3 years ago

      @Shamin you made my day man

    • Kunal Dhadam 3 years ago

      And i am thinking how is she writing in different colours with same pen

    • glyna Dugan 3 years ago

      RIGHT?!! That really stood out to me.

  • Once Again 4 years ago

    She’s good at writing backwards.

  • davetileguy 4 years ago

    Ok stupid question, is she writing backwards on the glass?

  • Charmaine Grafton 4 years ago

    Nancy, this was sooooooooo helpful! I have a better understanding of logs now! Thanks for your video!

  • Navi Gator 4 years ago

    makes me crave milk…..

  • neo nova 4 years ago

    I shall call you by your roman name – ” Smarticus ” … never could get what the heck logs and for that matter calculus was used for except to give small children headaches.

  • Aaisha Yasir 4 years ago

    You deserve way more subscribers

  • Милен Стефанов 4 years ago

    I’m fuc**n inlove!!!

  • blakeyonthebuses 4 years ago

    So the natural log is LN. That’s the other way around?

  • Allan Peda 4 years ago

    So either Nancy can write fluidly in reverse, or she’s really right handed.

  • No Bozos 4 years ago

    It was clever of you to go ahead and write on the glass and then flip the image afterward.

  • Denny Law 4 years ago

    Gosh, If I had a math teacher like this I’d have gone to M.I.T.
    Just wonderful to see someone with brains and looks and sparkling personality as well as a gifted instructor. Just great.

  • bellybooma 4 years ago

    Hello math Goddess.

  • Mau365PP 4 years ago

    Holy moly guacomole

  • Daniel Bartz 4 years ago


  • The Loobis 4 years ago

    how long did it take you to be able to write backward?

  • The Loobis 4 years ago


  • The Loobis 4 years ago

    3:00 Hey, you’re a Lefty. So am I. Did you know that the number of left to right handed people is reversed for monkeys?

  • The Loobis 4 years ago

    So what are Logarithms?

  • Jehannum 4 years ago

    I saw no logarithms.

  • PrimiusLovin 4 years ago

    I spent a significant amount of time alone in my bedroom studying these!

  • Atalay Ant 4 years ago

    if you can graduate from MIT, you can write backwards… where do people use logs in real life?

  • Phillip Weeks 4 years ago


  • George Ski 4 years ago

    Wow math sure has my full attention, now

  • James A. McGuire 4 years ago

    I think it’s quite important that if you’re going to deliver a lecture on Log E that you can actually show an understanding of and articulate what E is.

  • Brian Meyrick 4 years ago

    Lipstick looks and red chalk? How is this allowed in the 21st Century?

  • Jerome Kelly 4 years ago

    Nancirooskey, I think that your kinder and gentler than Khan, and therefore you may very well transform the collective consciousness towards “a thousand points of light” in mathematical terms. Not sure exactly how to log that.

  • J T 4 years ago

    Can do something like 1/3 log 27 – log (3^3 -18). How can I do simple questions like that I get confused

  • krafty1708 4 years ago

    Why do we need to know this about logs?

  • MusicInspire 4 years ago

    Very nice job, Nancy. Well done.

  • Blue Blue 4 years ago

    Very nice idea to write this way.
    But why do you speed up while writing? Looks unnatural.

  • goguhu 4 years ago

    Now the real question is how much is log[3+4i]2i ? log of 2i using base 3+4i …

  • goguhu 4 years ago

    log -1 = i*pi

    Suggest to also add the following to your video:

    e ^ ln x = x
    log (x*y) = log x + log y
    log x^y = y*logx

  • dodgerfreak0834 4 years ago

    Didn’t know math can be so beautiful

  • Mycarrox 4 years ago

    but what is 2 + 2?

    • Just a 4 years ago


  • MrLoin 4 years ago

    Marry me Nancy. Maybe you’ll heve more time teaching me. 🙂

  • L M 4 years ago

    Very well done. Excellent progression of skill-layering. Obviously Nancy would make a fantastic teacher, but I get the impression she is way beyond that. It would have been nice to end the video with a very practical example; Like using logs to calculate pressure in a hose, or a graph of the housing market, acceleration, etc..

  • Michael Mickey 4 years ago

    Never watch the mathmatics, But her.

  • dyang 4 years ago

    i’m here for beauty

  • mrstanlez 4 years ago

    wow, she is pretty woman

  • Jason Minns 4 years ago

    How are you writing backwards, yet I’m seeing it forward? That’s the real question.

  • B. Xoit 4 years ago

    Some people write “log” with no explicit base for natural log.

  • Anthony Joyce 4 years ago

    Freaking gorgeous and smart.

  • BaTThaLa Wagas 4 years ago

    I thought shes d soloist from d ‘Corrs’?!

  • Aman Official 4 years ago

    plz whatsapp me +923369769880 plzzzzz

    • Just a 4 years ago


  • cytron 4 years ago

    OMG am struggle to consecrate on the real subject of this video.

  • Earn free tips tricks 4 years ago

    good looking

  • J.U. Millien 4 years ago

    Where were you and Youtube back in 1990 when I needed this? This is great math explanation and cool post production effect. Thanks,

  • Alexander Macedonian 4 years ago

    I know math,but she brought me here

  • Gankable 4 years ago

    Never thought I would enjoy Logarithms so much.

  • musiciswhatihear 4 years ago

    I have my Math final coming up. This vid really helped a lot, thank you 🤙🏽

  • Nothing could turn out really something. 4 years ago

    Who else is watching the video for not knowing Logarithms!😂😂

  • Antonio Barbosa de Jesus 4 years ago

    Thanks a lot for this! I think I finally got logs!

  • SuperLimerick 4 years ago

    you made that topic easier..i was struggling in school before

  • Peter McDonald 4 years ago

    Well explained. Thank you. Nancy, you’re so young and you have a great future ahead of you whatever you do. Keep up the good work!

  • Jim Clarke 4 years ago

    I have a big log in my shorts watching you

  • Tayyab Ali 4 years ago

    Very good👍

  • TheMakyato 4 years ago

    hi Nancy3,14

  • TheMakyato 4 years ago

    why not all teachers are like you

  • M aXa M 4 years ago


  • pufarinu 4 years ago

    damn, sexy teacher !

  • colonel beer 4 years ago

    more youtube vids like this and we eliminate lady gaga.
    i see u still didnt reach 100000 views….that says a lot.
    u have my support.

  • Keith Makan 4 years ago

    Do you actually write it backwards? This must be a camera trick sorry if I’m late to the party

  • Alonso Garcia 4 years ago

    How a great way of making videos, congratulations !!! Not to mention that the exposition is clear, simple, easy to follow. THANK YOU A LOT !!

  • Novalino Firdaus 4 years ago

    look at her hand, is she a gamer?

  • A suman 4 years ago

    How strange you write ?

  • John Cooper 4 years ago

    Not for nothing but HOLY SHIT – she is smart

  • John 4 years ago

    Why am I watching this

  • Sen484 4 years ago

    Hey your videos are absolutely amazing, thank you! Could you please the logic behind the change of base formula? I want to know why it works :D.

    Thank you again your videos have been a massive help to me.

  • PP PP 4 years ago

    You work pretty fast, are you human? I like the explanations. Thanks

  • Adepez Zee 4 years ago

    What’s the purpose of logarithms?

  • SevenDeMagnus 4 years ago

    Thanks Nancy.
    Advanced Merry Christmas.

    God bless, Proverbs 31

  • Abdul Rahman Ishaq 4 years ago

    ادرسو من علم عباقره العرب 😎😎😎

  • Ludovit Balazec 4 years ago

    log(-1) is undefined only in real, but not in complex numbers. -1 is e^(i*pi), so log(-1)=i*pi/ln(10)

  • AMUSER TV 4 years ago


  • Graham Brechin 4 years ago

    Yum .. 😉

  • Lawrence D’Oliveiro 4 years ago

    I am pleased she is “NancyPi” and not “NancyTau”. 😉

  • moponi 4 years ago

    Really conveys almost no mathematical competence. Having “patterns” to deal with logarithms is not very useful from a mathematical point of view, because you have no framework, no concept to guide your application of the logarithm or to understand other people’s application. The mechanics of logarithms are well explained, though.

  • N VDL 4 years ago

    Wow, high school was so different.

  • N VDL 4 years ago

    NIce, I got them all from my head before you answered. Math confidence is a good feeling.

  • Gert Cuykens 4 years ago

    May you be successful. Thank you for helping mankind evolve with so much passion in what you do.

  • Novilic 4 years ago

    In fact, from the point of view of the programming, when you say “log” you refer to the natural logarithm “ln”, therefore it would always be necessary to verify to which base it refers.

  • Han Lee 4 years ago

    Nancy, how can you write inside out? you write in the perspective of the audience from back…. and you are lefty…it’s mindblowing what you are doing on this video.

  • Gabri EL 4 years ago

    2:00 How do you do that? Writing backwards, being pretty and doing math in the same time… How do you do that?

  • Gabri EL 4 years ago

    That’s the first time in my 38 years when I finally understood how logs work. Clear and exact explanation! Wonderful job!

  • PeterKazama 4 years ago

    what kind of cake does this make?

  • Jansen Tanu 4 years ago

    Please do tutorial for quaternion and octonion please…!

  • Mr. Laxr 4 years ago

    Just crushed from space and watched this video. And it enlightmented my brain with logings 😛

  • Mr. Laxr 4 years ago

    i think everrything is fine .. but you just need to edit a little bit your video to make this more attractive and organized. and yeah… expressions and expertise will come with time. Best of luck.

  • WeThePeople HaveSpoken 4 years ago

    Smart and pretty. Mommy…….. So above my intellect and pay grade unfortunately. So wish it wasn’t true. Hey you like dummies? I’m your guy!!! Hit me up LOL. The upside would be you get almost everything past me and I’d be like duuuhhhhh (drool) ok! Thats a positive you don’t find everyday ahahahahaha.

  • Big Fuss 4 years ago

    12:05 What is e btw? It is “JUST” a special number in math.

  • Ratius Rattius 4 years ago

    A lefty 🤗

  • James Morgan 4 years ago

    I like math, I subscribed for obvious reasons.

  • donedeal 4 years ago

    Top marks for explaining, plus top marks for writing backwards = top marks squared.

  • István Szennai 4 years ago

    sometimes log(x) assumes the natural base (like in programming languages), so one must be careful. It’s better to ask the base if you’re not sure.

  • kamel hatem 4 years ago

    Thank you Nancy!!! but i’d like to know for what do we need to use it?

  • Hoppi Hopp 4 years ago

    Why is this so easy? I never understood that in school. Great video! Thank you 🙏

  • jusTSean 4 years ago

    Awesome! Liked the video and it even came back after 15 years. Wow! I love math!!! It’s so simple and beautiful when it’s worked out.

  • Wujcio Wariatuńcio 4 years ago

    heh, trudno się skupić na liczeniu

  • ETIT 4 years ago

    you have the best audio on youtube. great mic great voice. you are also pretty organized and elegant in how you teach. excellent channel. subbed.

  • J. Mac Jordan 4 years ago

    I’ve probably had close to a hundred teachers from all the years at University – if she were one of them and it was a class I had to pass; I wouldn’t have made it… How do you choose to look at Math when someone so beautiful is right there beside the Math to look at instead?

    Damned if I wouldn’t be in the front row every class, appearing to be paying attention, even participating and asking questions; still, I guarantee every Test, an F. I probably wouldn’t even write anything down on my exam; I’d just be hypnotized…

    It’d be awkward the first go through the class; but if it were required, the 4th or 5th attempt to pass and it’d be really really awkward. I’d sit and stare; she would pity my apparent retardation yet still have to fail me again and again.

    I’d eventually wind up sobbing every night knowing I’ll never get through the class and go forward with my studies; she would eventually wind up sobbing every night feeling guilty having to fail someone seemingly low-functioning retarded time after time.

    I dodged a bullet though. The Math I had to take, all the Professors might as well have been leprous monsters by comparison…

  • The genius Siah 4 years ago

    😍🤤 maaaaaaaaaaath 💞💗💘

  • Man Le 4 years ago

    I don’t study well with a hot teacher…. 😜

  • Robert W. 4 years ago

    Sod the LOGS! She was writing in reverse. Now thats impressive 😂

  • Ans Azeem 4 years ago

    I wish my Maths teacher was as hot

  • Ans Azeem 4 years ago

    For around 18:50, why don’t you just put the value of log 2(7) directly into the calculator function: log (number) rather than log 7/log 2?

  • Ramon Saleta-Piersanti Besga 4 years ago

    In fact log of 0 gives minus infinite, you can know it by plotting the function. Of course calculators do not manage this case.

  • IElial 4 years ago

    For change of base formula, keep in mind logₐ(a)=1

  • Ghost Gutarist 4 years ago

    I don’t believe You.

  • Farhan 4 years ago

    Why pink?

  • Amelia Roque 4 years ago

    Q. Basic log: you should show us how to find x. Your demonstration assumes we already know solution, does it not.

  • Smollet Trump 4 years ago

    that actually basic math that you learn about logarithms around 14-15year old and btw u can calculate the logarithm of a negative number u just have to use ί

  • Erick Vilca 4 years ago

    you are very hot, you learned to write in mirror mode?

  • Silvr35 4 years ago

    Made my life so complicated with the ( ln (e^3) ) problem why didn’t you just write x=3 Jesus Christ, you are pretty cool so ill let pass.

  • Ròbinson García 4 years ago


  • DBF 4 years ago

    She’s the new Log Lady.

  • curt c 4 years ago

    Great Vid

  • Dmitry Ivanov 4 years ago

    My life is getting better when I study English by repeating school courses math.

  • Raja Syed Abuthahir 4 years ago

    I was learning Binary Trees. From there i came across logs. Once i come here, i paused watching and read all comments about how she writes backwards. Had to mirror my monitor screen to calm myself from the mystery. Clever and Engaging!

  • MMR eMRe 4 years ago

    First of all thanks for your labor Nancy. But i cant understand, is this subject is hard to understand? In Turkey, this is a highschool lecture and no one struggles for understanding. I mean it is an easy subject i think, because your lecture is very basic level and of course you are a great teacher according to this lecturing but this matter is not worth for such easy explanation according to my humble opinion. Every graduated highschool kid can solve easily without listening such basic level explanations of this matter. But again i think you are a great example for how a teacher must looked like. Thanks for all your efforts.

  • VAIBHAV VERMA 4 years ago

    When she was teaching even weirder logs I told “that’s a freakin mess” a total of 7 times.
    I understood it later, well taught.

  • Raspando Muebles 4 years ago

    Are you really writing backwards?

  • Luis Edgar Poblano Díaz 4 years ago

    Logs for negative numbers are undefined in real numbers. You can get a complex answer, though.

  • Dixing Xu 4 years ago


  • Константин Кресс 4 years ago

    Ядрена пасатижа
    И так хер пойму эти логарифмы, так еще и на англицком базарят
    Ну нахер

  • M74 4 years ago

    NancyPi, you are an AWESOME instructor! Your methods has made these concepts a lot easier to me. Thank you, and what’s the name of the software program or apparatus that you’re using, that enables your marker to appear on your video upload? Thanks in advance, and PLEASE keep the tutorials coming.

  • Gebremicheal Araya 4 years ago

    you make maths simple

  • Machiel van Rheenen 4 years ago

    Thank you, finally got it.

  • Soles & Skins by Saral 4 years ago

    Proved: Check @3:26 “and x = 2” her hand makes a thick mark at the ending of writing 2 due to its pressure on the glass and then the shot is taken again to make it look seamless. Also the video switches between pink and black marker seamlessly. It’s all good video editing and smart production to make it look like Magic. More power to them.

    It’s a Simple glass in front of her with the camera facing towards the glass. So she is writing with her right hand normally and the camera is recording it. After the complete production the movie is flipped.

  • At3n3a Henriquez 4 years ago

    Hello my Queen !

  • Tyler Brown 4 years ago

    The thirst is real in this comment section

  • Robbie Zeigler 4 years ago

    People who do this useless meaningless math must have (0) life!

  • John Bartholomew 4 years ago

    A^n = A^m iff n = m

  • Dawn Ripper 4 years ago

    Negative logs are possible through polar calculations!

    • Dawn Ripper 4 years ago

      Log base 10 of -1 can be written as ln(-1)/ln(10). According to euler’s identity, e^(ipi)=-1 so ln(-1)=i*pi. So log base 10 of -1 is just (i*pi)/ln(10).

    • N1cKyP4mH4zP0Pc0rnT0Eat 4 years ago

      @Dawn Ripper this is math in the real number line, not the complex plane.

    • Dawn Ripper 4 years ago

      @N1cKyP4mH4zP0Pc0rnT0Eat What a coincidence, I just saw you commenting on Blackpenredpen’s weird chinese post!

  • Aide Gliser 4 years ago

    No se ni puta Madre de ingles mucho menos de matematicas pero estas chulisima niña y por eso voy a aprender

  • Game Experience 4 years ago


  • Brylan Jacobs 4 years ago

    I remember initially learning about exponents and that they consist of a base and a power… and Logs also have a base.. so I found it easy to remember that the base of a log is also the base in the exponential form

  • Rawlyn Prescod 4 years ago

    i understand clearly especially the weirder ones and how too solve problems with fractions without overthinking many thanks.

  • Ribeirao 4 years ago

    I love your video about linear systems

  • Mark Rios 4 years ago

    Well, she does name the video How, so I can’t say anything, but I need the Why. Why logs? Why do they exist?

  • Billie Elish 4 years ago

    Thank you Nancy

  • Don Thorson 4 years ago

    Be nice if mathematicians would explaain what these equations are trying to accomplish. for instance, what does a log do in the real world”?

  • BareSphereMass 4 years ago

    Is she writing that backwards or is she right handed and they just sideways inverted the picture?

    I can’t stop thinking about it…

    • AU7 4 years ago

      BareSphereMass I was initially thinking the first option but if you look at the partioning of her hair in the video and then compare that with her dp and qna video then it seems like the second option is true and the video is inverted.

  • Moshfiqur Rahman 4 years ago

    I wish my math teacher taught us this way in high school. This is the benefit of Internet. I am so jealous of those who are in high school now.

  • Sashimi is bad 4 years ago

    Yes, teacher

  • Juma Ally 4 years ago

    very nice

  • Anas Khan 4 years ago

    Please help me understand is she writing on glass or is there any other trick I’m missing out on?

  • Linksthebest 4 years ago

    I found this video by accident, I guess? I have been watching random math related videos here and there and stumbled upon this. At first I thought, “Wow. Logarithms are so outside my my capacity.” But after watching you do them I was was overwhelmed by how easy they are. So I just spent the last hour on Khan Academy learning logs and doing practice examples! lmao YAY MATH!

  • Ayaan Rashid 4 years ago

    Any medical students in 2019??😂😂😂

    • Hugh Jass 4 years ago

      O.G LOC first year here

  • Evan Bellinger 4 years ago

    Cute AND smart

  • redmotherfive 4 years ago

    I’ve never, ever, thought that ‘logarithm’ sounds pretentious. Weird.

  • warby 4 years ago


  • Luke Love 4 years ago

    You are great at explaining! This saved me! Thanks.

  • Darrel C 4 years ago

    I would have enjoyed math more in school if you were my teacher.

  • shiz 4 years ago

    how she writing backwards so well

  • Fountain of Knowledge 4 years ago

    Is this girl white?

  • Shivam Sharma 4 years ago

    Tell me who is here only for mam…….

  • Jo-Jo bighiker 4 years ago

    She writes BACKWARDS!! Oh Yeah, the math is good too!

  • Drop Assassin 4 years ago

    lol watch in 0.25 speed

  • SIRTIMAGRIYO 4 years ago

    Hi Nancy. Will you marry me?

  • Glenn Dickey 4 years ago

    Where were you when I was trying to learn this?? I know…. Your Great-Grandparents hadn’t met yet. That’s why I was do bad at math!

  • David Christian 4 years ago

    Are u writing backwards?

  • Popeye 4 years ago

    Cant I do that on a scientific calculator?

  • Rody M 4 years ago

    Thanks Nancy you are awesome you helped me a lot

  • Hina M 4 years ago

    What’s answer comes by dividing log 7 with log 2 ?

  • Ken Smith 4 years ago

    My 11th grade math teacher said “If you remember nothing else from this course, you WILL remember that a logarithm is an EXPONENT!” Thanks, Mr. Branson. It has been 40 years, and I still remember.

    Note: in some advanced (and probably older) math books, log without the base means that it’s a natural logarithm (base e), NOT a common logarithm (base 10). Watch out for that!

    • David Woodside 4 years ago

      Exactly, Ken. See my post.

  • Bryin E. Willis 4 years ago

    > I would keep you…

  • Dennis Sanchez 4 years ago

    Beautiful! (pun intended)

  • Dave Stewart 4 years ago

    I may have missed what a log is and why you’d have to solve them. Did I miss that?

  • Russell Sutherland 4 years ago

    A power is a based raised to an exponent. E.g. 10^3 is the 3rd power of 10. When you use the word power you really should be using the word exponent.

  • Happy Kumar 4 years ago


  • Ady Day 4 years ago

    What the hell….stick to the easy way…..your over complicating the whole thing…….are you on the enterprise?

  • Ikam6 4 years ago

    Are you really writing backwards ? Mindblown
    Thanks for the nice explanations !! You awesome !!

  • Debajyoti Biswas 4 years ago

    Kindly tell me which kind of glass board u r using? I have tried but the color is not so bright out! Thanks in advance!

  • tek grg 4 years ago

    Very appreciative method but i wonder is what a technique to write on crystal like screen ! Amazing !

  • Prince Chandrayan 4 years ago

    You are very good in teaching and you are also much pretty and beautiful.

  • John Keen 4 years ago

    maybe start with “what is the purpose or use of “logs””!

  • MasterofPlay7 4 years ago

    you are too pretty I’m totally distracted xD

  • Rocky Avg 4 years ago

    Logs can burn in hell

  • Drake Malprave 4 years ago


  • skystep2 4 years ago

    For me you are too attractive to focus. Sorry. Have good day.

  • Amit Kumar 4 years ago

    I always admired hot maths teachers and thats how, I excelled in maths as lot of attention was paid to her details.

  • Michael Shinagawa 4 years ago

    Thanks this was really helpful 🙂

  • William Edmondson 4 years ago

    I had to study these in college years ago but nobody made it as easy as you did. Oh yeah, you are pretty aren’t you? Thanks.

  • giuseppe mastrangelo 4 years ago

    I Log you

  • zowlex 4 years ago

    Okay youtube I’ll watch this recommended video of a pretty girl who explains math by writing backwards ! *sighs*

  • Moshak Duale 4 years ago

    I can’t solve your logs but you can solve my log, oh yeah yeah

  • Daniele Messina 4 years ago

    “how do you evaluate it?”, “what if you have to simplfy that?” are all questions that come after “what is it?”, “does it have a value?”… and then you start with “make it equal to x” and a series of convoluted instructions with circles and arrows without clearly stating what you are trying to do. After two minutes “btw this is the base”. Then you call that thing exponential, but you should call it just power. This is why people don’t get math. Math is not a series of recipes. There are a handful of fundamental concepts and then everything follows just using logic, not snails.

  • qyahb 4 years ago

    Hey there pretty

  • Lu-Cha 4 years ago

    Amazing. I could just leave all my stuff here, go to wherever you live and become your husband and support your math teaching. Lovely. Hope to see more.

  • PedroTS 4 years ago

    It’s fine and all but is missing the whole key to logs and that’s why that function exists and is used. Would’ve been nice if you showed a plot of the log function, where it appears in nature, finance, engineering, etc.

  • Donald Duck 4 years ago

    Natural Logarithms functions are inverse of exponential functions. Shall we go on?…

  • meagain2222 4 years ago

    You are actually quite good at teaching math.I can actually understand you.You talk at a rate which is easy to follow.
    Your my favorite math teacher.

  • Slartibartfast 4 years ago

    It would be useful to first know why. As in why are logarithms useful and what are they used for?

  • Kazuma Kendate 4 years ago

    are u a left-handed?

  • Aniket Salim 4 years ago


  • Prince G-MO 4 years ago

    Love this channel. OMG! Love this Channel. This channel is a godsend

  • Kim Jakab 4 years ago

    Thanks for this brief and well explained resume of logs!

    It’s also good to illustrate the log functions (I liked your snail analogy, though it doesn’t explain the appearance of the functions :)) to ease the understanding how logarithmic functions work and why there can’t be negative logs

  • ZeptejSeFilipa 4 years ago

    How you do that? On the glass? You can write backwards?

  • Mizzy Roro 4 years ago

    This is the problem I have with you mathematicians. Maybe start by explaining what the hell is a logarithm and how the hell is it even a thing that is even useful. Like I was thinking some time ago how the hell did they get the relationship between pi and the square of the radius of a circle gives us the area. What the hell is pi anyway and why the square and not the cube or whatever. Then I stumbled across a video where a guy explains this exact thing and it made perfect sense which anybody can fully get. So maybe do something like that and tell us what the hell is a logarithm and why is it useful. Thanks.

  • Mizzy Roro 4 years ago

    Everytime you mention X I think of your ex. Poor guy 🙁

  • Bicycle Ninja 4 years ago

    My heart’s on fire. FOR MATHS!

  • md 4 years ago

    I didn’t knew this kind of magic…

  • Alex Pletcher 4 years ago

    Damn I dont see a ring XD Some guys gonna be real lucky smarts and beauty with a lovely smile

  • Sesami Haomaru Nge 4 years ago

    Like and subscribe for the beautiful lady 😀

  • Reece Derbyshire 4 years ago

    This is great thank you so much! @NancyPi

  • Vincent Ardizzone 4 years ago

    Good explanation. I wonder how many young male students were able to concentrate on that?

  • GaborTóth 4 years ago

    So smart and so beautiful, i felt in love

  • RedOps5 4 years ago

    Thank you for this, it’s a big help.

  • Bella Kona 4 years ago

    Any one noticed! How could she write in backwards?

  • Wedge Antilles 4 years ago

    So the first basic log is basicly the same as saying 3 x 3 = 9
    Holy hell *LOL* called it, I’ve been watching this for 2 minutes and 30 seconds.

  • ali alyahyai 4 years ago

    You are great

  • Tachyonizer Tachyonizer 4 years ago

    Log e.

  • CyberiusT 4 years ago

    I wish you’d been my uni math lecturer: that was easy to understand – he made it impenetrable! (I mean you now. I doubt you were even born then! ;p)

  • Omar Kallel 4 years ago

    She’s writing from her right to her left

  • Zero One 4 years ago

    Well this is new content for ASMR

  • Angelsword 4 years ago

    This . . . . this is how I’ll learn math.

  • 1Me 4 years ago

    Remember to always flush your logs when you are done. Sorry, I know, I can’t believe I just said this. Now I will walk away in shame 🙁

  • JiveLive2G 4 years ago

    Great teaching!

  • caremell 4 years ago

    This is too weird

  • Ivan 4 years ago

    log of a negative number is a complex number. Not undefined.

  • Youssef SALIMI 4 years ago

    I’m wondering why I’m watching this, my mathematics knowledge is way higher than that.

  • Georgina Munoz 4 years ago

    Thanks for the snail technique!! Have a test tomorrow on this and this vid really helped

    • Leo Volont 4 years ago

      I tried the snail technique but wish there was something faster.

  • adam tesla 4 years ago

    Thx Nancy very much cozaa its tragedy for me without yr vid 👏👏👏👏

  • el xero 4 years ago

    You wrote backwards 0_o

  • Perfect Colors 4 years ago

    Why not jut.put 3×3=9. ..simple

  • andrea inzaghi 4 years ago

    I love the pink colour of the marker

  • pinoy skeptic 4 years ago

    all math teacher should look like her

  • Raul Ortiz 4 years ago

    Wow, You can write backwards. and with the left hand.

  • Re yunoen 4 years ago

    The video speed up when she write. But in real time it’s slow writing…

  • Neo 4 years ago

    It’s true that any number to the power of 0 is 1, however it essentially means the base dividing by itself. Speaking of division, there is a restriction which is dividing by 0. Therefore, the base also cannot be 0 because 0^0 = 0/0 = undefined (or also known as “indeterminate form”).

  • Sam Daniel 4 years ago

    I like this Nancy………all math teachers should be like this.

  • Dantong Li 4 years ago

    gosh can any man alive concentrate on the math in front of her???

  • Taner Köse 4 years ago

    Çok güzel ve değişik bir yöntemle anlatıyor 👍🏽👏🏽

  • 7UV4N 4 years ago

    If I had a teacher like this, my attendance will be 100%

    • Aurel 4 years ago

      SAME. I’ll absolutely get straight A’s too. Damn

  • DustyCowdog 4 years ago

    Hahahaha… @ ZWheel1 — Same here. That actually blew me away the way that works. Magic, for sure! But she is also a beauty… with brains… I dig that.

  • DustyCowdog 4 years ago

    OK… this is driving me crazy — how does your writing software / video thingy work???? So fascinating.

  • Sikndr Ali 4 years ago

    U r very beautiful

  • Nurul Hidayah 4 years ago

    why I learn this ?

  • aljacko1 4 years ago

    So women who do math don’t pout, do filters, tattoo eyebrows or attention seek. Intelligent women any day.

  • Échanges virtuels Virtual exchanges 4 years ago

    Cool video

  • Young Keanu 4 years ago

    She makes me wanna learn good.

  • Bear Humphrey 4 years ago

    apart from showing of how smart you think you are…whot posable use is this CRAP im 69 and have never been asked to do this crap

  • divertechnology 4 years ago

    so we watch the video to watch the woman?

  • Yo Soy 4 years ago

    The real value of the first 1000 significant decimal places of Pi are as follows:


    Pi = 4/sqrt((1+sqrt(5))/2)

    This is the only value for Pi that harmonizes the area and the perimeter for circles and squares, making them equivalent to each other and fulfilling the universal law of conservation of mass during a geometric transformation!

  • Sakir Yanyan 4 years ago


  • Axel Perez 4 years ago

    Thank you Nancy, I love how you explain mathematical topics. I love even more your natural beauty, stunningly beautiful :))

  • algypsy17 4 years ago

    Oh dear, if only I’d had such a beautiful sweet teacher when I was a teenager … I would have done anything to understand, have good marks and please you … Instead I was a total zero and hated math ! By the way : first time in my life that I understand logarithms, are you a magician ? Unfortunately I have neither time nor space in my adult life for math … so thanks and by 😉

  • Ron Nazareth 4 years ago

    *My eyes keep on looking at her.*
    She’s pretty/nice…

    • J.P. Mallick 4 years ago


    • GRIZZLEE 4 years ago

      The reason she learned how to write backwards/mirrored, so that people dont stare down her ass while she teaches math.. Very clever.. Now pay attention 😂

    • jun villa 4 years ago

      Me too

    • Gerardo amador 4 years ago

      @GRIZZLEE haha she doens´t write backwards, she write normal in a mirror, when she is editing the video she apply mirrored effect, and looks like that…

  • Umair Jibran 4 years ago

    Damn it, How am I gonna learn?

    because all I can Focus on is “NANCY”.

    • Lara Perez 4 years ago

      You’re totally right and I’m not even lesbian.

    • Umair Jibran 4 years ago


    • NoizÉ BuoY 4 years ago

      ya got that right!

    • {LP} WITH RAHMAT 4 years ago

      @Lara Perez you can become lesbian if u are in love with PI

  • Apollyon78 4 years ago

    Marry me and teach me the maths. I need to get learned.

  • Nessus07 4 years ago

    Very good…..thank you.

  • Johnny CincoCero 4 years ago

    Brains and looks…Marry me!

    • vestigial code 4 years ago


    • Johnny CincoCero 4 years ago

      @vestigial code Shut up!

  • jhony angarita 4 years ago

    π no es la relación perímetro diámetro pues una circunferencia no es un polígono regular es una curva cerrada

  • Quibella 4 years ago

    Is she writing on camera screen?

    • Süleyman 4 years ago

      No, she does magic

    • Quibella 4 years ago

      Ummm. Probably

    • Christina Miyar 4 years ago

      she’s clearly sitting behind a panel of glass on the off chance you’re not being serious lol… The crazy part is I think she’s writing it backwards?

    • Pentameron 4 years ago

      She probably wrote normally on a glass panel and flipped the video through post-editing.

  • Caporegime 4 years ago

    I passed my maths college exam but watch these videos because of her

  • Jesus follower 4 years ago

    Just landed thank you

  • Saman Afrooz 4 years ago

    wow your explanation was amazing and i didnt know anything about logs although my major is mathematics in iran university but now you learnt me alot of things thank you so mush

  • Macabre 4 years ago

    Saw the thumbnail and just knew the comments were gonna be fun to read

  • Mich S 4 years ago

    Holy F#@%! how do you write backwards so well??!!
    good vid too

    • NAMAN GOURAV 4 years ago


  • Sam Hoil 4 years ago

    What… I watched the whole video i didn’t know it was about math.

  • Hello World 4 years ago

    Thank you Nancy for sharing your knowledge to the world. May God bless you!

  • Umair Rehman 4 years ago

    a cute maths teacher

  • Umair Rehman 4 years ago

    why we need to take log of any number? why???

  • Anti-demo-rat 4 years ago

    Nancy please marry me.

  • Ajay Aj 4 years ago

    I love her

  • Roger didit 4 years ago

    I Ike pie.

  • MrTruth111 4 years ago

    I believe everything you say.

    • Tarun Kumar 3 years ago


    • taro 3 years ago


    • Sonu Kumar 3 years ago

      This man deserve a 💓

    • Pranav Pore 3 years ago

      Bro that’s how it works in real life also 😂

    • Devesh 7 3 years ago

      S i m p

  • TyroZenavia Gaming 4 years ago

    Why youtube recommend me this. I don’t like math. My search pattern in a lifetime don’t include word math. Youtube is broken big time.

    • Sean 4 years ago

      other reasons 😉

  • Anthony Hendra 4 years ago

    great. thanks

  • GoldFinch 4 years ago

    *I don’t see any logarithms*

  • Mateusz Piekarek 4 years ago

    Wow, she is so pretty

  • Se Iko 4 years ago

    I start to love math

  • Qamar Ul Hassan 4 years ago

    Does she teach private tuition?? 😋

  • Zavi Aman 4 years ago

    Were they invented in Logar, lol thats the province I was born in 😀

  • Mairis Bērziņš 4 years ago

    The real question is…. How does she write backwards on a glass between camera and her…

  • Ureche Urke 4 years ago

    Suddenly, I like maths !

  • kilowaverider 4 years ago

    Thank you. Neat and sharp 👏🏼👏🏼👏🏼

  • I love puppies 4 years ago

    Wow smart and pretty 😃

  • Scott Krumwiede 4 years ago

    A Woman who is Attractive and is Intelligent is Great Thing to Behold!!

  • youtsube09 4 years ago

    She is not left-handed.

  • Md. Jahidul Islam 4 years ago

    Math’s will be easier if all the teachers teach us the way you teach with humbleness and cuteness . BTW i love this video , thanks

  • baran ilhan 4 years ago

    she is writing backwards with left hand and talking about some math. imposible

  • 1MicrosoftCPU 4 years ago

    Nancy is hot

  • Yannis Dubois 4 years ago

    I think logarithms are pretty funny:)You should try tri algorithms like tri rapide.

  • Concordeagle 4 years ago

    Your fans miss you, when are you posting more content?

  • soujan wuluvarna 4 years ago

    u look damn gorgeous mam

  • Ro nald 4 years ago

    I wish i had a math teacher like her when i was in high school. Man would i pay attention

  • Nico 4 years ago


  • Toby Henderson 4 years ago

    what are we talking about here this vid is going to hit 5 million. hmmm what if she was actually simulated still how could it be possible for one to focus on the subject matter.

  • Ryan Nickens 4 years ago

    There are no women like this in my life. And I am sad because of it.

  • JP dJ 4 years ago

    So we have seen the logarithmic analogue of 6-2=x, 6-x=4 and x–2=4. We can treat these subtractions as abstract grammatical “rewrite” subjects, or make them more relevant (i.e. understandable, relatable or teachable) with real world examples. Your move, ms. MIT graduate …

  • Cosmik Debris 4 years ago

    I’m in love.

  • user 4 years ago

    Pretty, smart, excellent explainer, can write backwards. You make me love math 😂

  • Chase14 4 years ago

    The math is beautiful

  • Carson Dial 4 years ago

    Man, this math is fabulous..just fabulous.

  • henry egbe 4 years ago

    all i see here is those beautiful smiles and the glamorous face that best explain the logarithm.

  • Lona Smart 4 years ago

    Thanks for the help

  • Lona Smart 4 years ago

    Calculus next

  • Justin Justin 4 years ago


  • Miszcz Klasykuw 4 years ago

    ez math == ez life

  • STEFFEN TAUBER 4 years ago

    Beauty and intelligence in the same person. What a rare combination.
    As a retired electroengineer i finally understand the basis of logaritms.

    • Jason Milton 4 years ago


  • ልቀኝ Tube 4 years ago

    Nancey i like you!!!!!

  • Ragul Murugan 4 years ago

    Hi nancy.ur teaching is too good.

  • Joel MacDonald 4 years ago

    Come for the math, stay for the sudden crushing sense of voice dysphoria lol. Seriously tho this video REALLY helped me with my math!!! I am a marketing student who is AWFUL at math but this was super clear and easy to understand!!!! Thanks!!!!!

  • ツUsman 4 years ago

    I got a 71 on my midterm😑

  • Harry Nafpaktitis 4 years ago

    I have passed multiple university math exams and know all about logarithms, but I didn’t mind the explanation at all, I watched all of it for some reason, hmmm.

  • Matej 4 years ago

    I am in love, but not with math 🙂

  • new satatus 2019 4 years ago

    your smile wao

  • Feb Vel 4 years ago

    Man I wish my teacher math is like her…. I will received math understanding much faster. never really able to do logarithm till this point in my life…. already graduated school about 20 years ago.

  • ATRI ACHARYA 4 years ago

    I’m in 2nd year electrical engineering, I would say that I’m very good with logarithms. I clicked on this video, just to check out this pretty lady!!!!!!!

  • Sam Avb6 4 years ago

    Nancy U r extremely smart woman and I can’t help but notice that U were trying to control Ur laughter & ended up smiling throughout the video😁😂🤣
    Sound effects when U write fast are really funny 😂😁
    And of course U r absolutely gorgeous with a lovely soothing voice. Wish U a very happy valentine’s day 😍💞💓🌹💞
    If U were teaching this in a classroom, there won’t be a single vacant seat.😁👍
    Excellent video. 👏👏👏👏✌😂👍

  • Atlas False 4 years ago

    Ставь лайк, если не смотрел в правую сторону))

  • Emmanuel Hernández 4 years ago

    Con una maestra así nunca falto a clases.

  • Game Film HUB 4 years ago

    Gorgeous + Smart = Perfect 🙂

  • Alejandro Gomez 4 years ago

    ….. I love you

  • saarike 4 years ago

    Great! Thank you very much.

  • Simon Alev 4 years ago

    Even though I’m a math student in the 7th semester I couldn’t stop watching the whole video… There are rumors it wasn’t because of the math in the video…
    Nevertheless the video is very well done regarding it’s actual purpose!

  • Kiran Jadhav 4 years ago

    log2 7 I not understand how to solve it please explain why did you divide it

    thank you

  • D So 4 years ago

    are you really writing backwards?!

  • Ali ŞEN 4 years ago

    Aşık oldum

  • dracula 4 years ago

    biz Turkiye de bunlarin kralini ogreniyoruz

  • gabegamer43211 4 years ago

    Correct me if I’m wrong would log base 2 of 7 be 1 over log base 7 of 2

  • I wish i could think Of a better name 4 years ago

    Hi Nancy can you please make a video in surds…?

  • MOHD YASIR HABIB 4 years ago

    Thank you mam. Good teaching.

  • Raindrop Services 4 years ago

    I really like the visual of the glass writing screen.

  • Alireza Farzam 4 years ago

    I regret at times I was going to school there was no YouTube!

  • Ryman Chaw 4 years ago

    if she was my math teacher, who knew i could have ended up being anything

  • Marie Hill 4 years ago

    Any ideas on how to solve this question,

    In triangle ABC, AC= 18cm, angle ABC= 60 degrees and sinA= 1/3
    Use the sine rule to show that BC= 4 root 3

    • Muhammad Fahad 4 years ago


    • Marie Hill 4 years ago

      Muhammad Fahad thank you!

  • Victoria Te 4 years ago

    Thanks so much.

  • AD07 GAMING 4 years ago

    thanks you are awesome

  • Zafran Ahmad Jutt 4 years ago

    I am pk boy and I should meet you for mathematics

  • Diego Rivera 4 years ago

    U fuckin saved my life I failed my ged now I passed caused yo videos for a week🥳🤯👏🏼👏🏼👏🏼🙌🏼🙌🏼🙏🏼✍🏼✍🏼✍🏼

  • Chinmayee chavan 4 years ago

    I literally was struggling with logs, but , your explanation made it very clear and much easier to me.

  • Luke Franklin 4 years ago

    Omfg, that ending was smooth as hell! Here take my like!

  • Developer G 4 years ago

    thank you so much!!

  • Zahra Bandukwala 4 years ago

    Log2 7 = 2^2^1.75

  • code.or. die 4 years ago

    228,453 views but none of them learnt a bit, i am pretty sure

  • christina el akoury 4 years ago


  • Jiminlesmolbean _ 4 years ago

    This is so easy how tf did I not get it in class 🗿, thank u Nancy 😔✊🏼

  • Samriddhi 8A Roll no. 36 4 years ago

    Not so good

  • Odili Leonard Ugwu 4 years ago


  • J. Adam Moore 4 years ago

    This woman is amazing.

  • YOGESH CHAVAN 4 years ago

    thank you

  • Hamid S 4 years ago

    Please keep posting. You’re great

  • Corry Pedallo 4 years ago

    thanx Nancy u r very smarter

    • Why-not-DIY 4 years ago

      Yeah…but you’re not very good at math nor writing, so let’s move along to the next comment

    • Corry Pedallo 4 years ago

      @Why-not-DIY i really love this! thanx very much NancyPe

  • raj Khair 4 years ago

    If you be my techer 😍3 years ago, then i definetly crack the exam 🤩😍of Ams

  • Joseph R 4 years ago

    This woman could tell me to kill my family and I would do it.

    • jblo 4 years ago

      We’re not related are we?

  • Why-not-DIY 4 years ago

    Hey “nancypi”, you clearly try too hard to look all cute and stuff. Just be yourself. Nonetheless, Great video!

  • Rojen Shakya 4 years ago

    How to calculate the log starting from 0 point(.) Eg-log 0.741

    • Dennis Bolanos 3 years ago

      How to watch the video.

  • Pekeruso 4 years ago

    Hanım ablam sayende artık matematiği seviyorum arigatou

  • Kevin Wawire 4 years ago

    I to like the presentation.please may you show me how to tuckle logs of unequal base ok

  • Ayush Aryal 4 years ago

    I cannot seriously concentrate.

  • Rishabh Palany 4 years ago

    Damn! She explained it so well

  • Görkem Seven Vids 4 years ago

    I know how she do it. She mirrored the video.

    • Élysée Pasteur 4 years ago

      Where were her camescope while teaching please?

    • TheHumanSlimjim 3 years ago

      omg dude you are so right, anyways whats your opinion of israel?

  • RACHIT KHANDELWAL 4 years ago

    I wish i cud have a teacher like her

  • strange happenings 4 years ago

    You remind me of the woman from good will hunting that will ends up dating. 😂 you guys could be twins or something. Haha

  • haseeb khan 4 years ago

    Can somebody be so beautiful and be good at math?

  • Quahntasy - Animating Universe 4 years ago

    She gives me ASMR

  • Baboonator 4 years ago

    I can’t concentrate, she’s to pretty XD

  • Jinto117 4 years ago

    But why?

  • vovowo 4 years ago

    Never thought I’d see the day I learned logs in 19 minutes

    • Jose Mendoza 3 years ago

      I’m about to watch the video while I could be watching GTA. But it’s only because she does a good job at explaining everything plus this is what I’m currently doing in precalc 2

    • halfhumanhalfzombie 3 years ago

      Making logs is much easier.

    • Harry Ross 3 years ago

      @halfhumanhalfzombie “Making logs is much easier. ” as long as you’re not constipated.

    • halfhumanhalfzombie 3 years ago

      @Harry Ross Exactly, that’s my sarcasm XD!

    • PikPobedy 3 years ago

      a wee bit

  • Vishwanath Blu 4 years ago

    I’m in love with the way she processes the stuff to write things like this in her mind ……

  • Ram varma 4 years ago

    I know log very well but I’m here because of just for u pretty nancy

    • J.P. Mallick 4 years ago

      Yup same here😁

  • Mustafa Kasem 4 years ago

    19 minutes gone as 19 second, because she and her explain are pretty nice 😍

  • Henning Okholm 4 years ago

    You are a great help, or your explanation is.

  • Benjamin Shafa 4 years ago

    god damn… I totally forgot that I click on this video to learn math…

  • Give u r best 123456789 4 years ago

    Thanks for such explanation .

  • ZH Z 4 years ago

    I don’t understand a single shit but I’m still watching

  • Sameer Tyagi 4 years ago

    It really helped me
    Thank u

  • AEJ 4 years ago

    How the hell are you writing backwards better than I can forwards?

    • Remi Schmitt 4 years ago

      she is writing on a mirror with her right hand!

    • AEJ 4 years ago

      @Remi Schmitt ?

  • Carol Jackson 4 years ago

    Thank you so much Nancy! I was so confused before I watched your video.

  • Nick Romano 4 years ago

    You’re the reason why I actually like math

  • Vincent Ortega 4 years ago

    Thank you Nancy; you are an awesome teacher. God bless you, Nancy.

  • Vishal Yadav 4 years ago

    Q. 3^2 – log base 3(4×log36)

  • K. Kevin .K 4 years ago

    Literally here trynna study for SAT test tomorrow lmao gotta get that good score sis

    • - angel 4 years ago

      K. Kevin .K omg same good luck king

  • Nana Yaa 4 years ago

    Pls let study change of subject

  • pzam 4 years ago

    if she was my math teacher I would never fall asleep in class.

    • Terry LaRue 3 years ago

      @Alex Kim Don’t tell me. You’re gay, right?

    • Alex Kim 3 years ago

      Terry LaRue no wayyyy

    • Surendra Singh 3 years ago

      @Economics and Business studies For you chutiya

    • Economics and Business studies For you 3 years ago

      @Surendra Singh you are

    • Aadit Munjal 3 years ago

      @Alex Kim someone has a crush on someone hahahaha

  • danial shahid 4 years ago

    Hahah. Backward writing. Lv it. And god Math can be so hot … 🙆‍♂️ … where were u when I was in schooooool …

  • akbar ali 4 years ago

    I am student of math honours… On first day of college I find no female student studied math…. Girls help to learn math are exceptional, I am amazed

    • deezynar 4 years ago

      Islamic culture hinders women.

  • At3n3a Henriquez 4 years ago

    Me gusta ti pizarron magico 😀

  • Michael Ossorguine 4 years ago


  • Cory Smits 4 years ago

    THANK YOU!!!

  • Irving Castillo 4 years ago

    Thanks Nancy no one has ever explained Logarithms so clearly and easy! thanks so much!!!

  • Athiambo Nyabundi 4 years ago

    she is pretty isn’t she

  • Emmanuel Cruz 4 years ago

    Beautiful and smart go incredible together… 🤭

  • LeoBr 4 years ago

    Nancy saves the day once again!

  • Thuan Duong 4 years ago

    Nancy π (3.14159265395)   ; birth day tuesday(3), fourteenth (14) january (1) year 592 B.C. she has 65395 friends.
    Nancy please tell me true or false ! tan(you) love tan (I) ballance sin (both) / cos (you), cos (I)

  • I-Chow Hsu 4 years ago


  • Chris Isaksson 4 years ago

    A lecture, which was delivered very well. Noteworthy is that the lecturer made the effort to face her audience, which grabbed my attention and motivated me to pay careful attention. This was a nice rehearsal for me, thank you.

  • Sud Sudirman 4 years ago

    I commend her for doing this. With her look, she could probably be a more popular Youtuber doing pointless reaction videos or any other crap things most kids watch these days. But instead, she decided to teach us maths. God bless her. And whoever you fall in love with, lady, he (or she) must be a very lucky person to have you.

  • Diana Farhat 4 years ago

    Thank you for the great videos!

  • Dark knight 4 years ago

    Does she use LIPSTICK for Explaining, why did I just have male teachers in my life, how I got my life wasted in that way ?

    • JDB2552 4 years ago

      Dark knight, those are regular dry erase markers.

  • نَذِيْر يُوْسُفْ 4 years ago

    She is smart.

  • Agil Asadi 4 years ago

    I suddenly started being interested in logarithms

  • Apollo fraud will be exposed very soon 4 years ago

    Suddenly Im interested in logarithms

  • Alan Bannister 4 years ago

    Thanks NancyPi

  • Ahmed Arishi 4 years ago


  • Saeed is crazy 4 years ago

    I didn’t understand anything because I was confused in her beauty

    • McoParkour 4 years ago

      Good for you

  • anton a 4 years ago

    Wolf in sheeps clothing…😂

  • joshua bowman 4 years ago

    Thanks Nancy! You’re videos help out a lot!

  • ОМЕГА HACKERS 4 years ago

    love you

  • marco sena 4 years ago

    I will Explain everything about how my girl write in this way…..The way of the people thinking is not right…My girl does not write in a mirror way ….. In her most videos We saw that she write with her lift hand but in the video of (Nancy answers your Questions) you will find that she welcomes us with her right hand not with her lift one as in the most of her videos….The way is she writes with her right hand in a glass then she mirrored the video itself…..My girl is not a super girl… She is a smart one♥

  • İhsan Eray KETENCİ 4 years ago

  • henry hache 4 years ago

    Its like someone plugged me into the Matrix….”I understand Logs now!”

  • Bowei Zhao 4 years ago

    Your lesson is good for new English adopter, I need the knowledge basic idiom. You are beautiful, and your lesson is good for the new English adopter for their accumulation of the words in mathematics. The lessons are filling the blank,and increased the possibility of the diversity. Thank you for the effort!

  • AVIKALP REWATKAR 4 years ago

    Thanks Nancy for describing it in a such a beautiful way that I’ll never forget it.

    • j g 4 years ago

      Avikalp you are a true man of romance

    • AVIKALP REWATKAR 4 years ago

      I really had a test today morning and after giving it I can score much better in it

  • ARAVIND KUMAR 4 years ago

    💐💐Hi Nancy You Looking Too Much Pretty and Your Study Way Pretty Like You.Thanks For This Knowledge.💕

    • ARAVIND KUMAR 4 years ago

      💐💐Thanks About Logarithm

  • H William Polenz 4 years ago

    Where’s her ring?

  • Leonard Wong 4 years ago

    Beauty n brains….nice! go find a good man babe…marry n have kids to pass them good genes on to.

  • Maria Schneider 4 years ago

    Thank you Nancy. Nice and clear.

  • Estêvão Kayoka 4 years ago

    Es la primera vez que veo tu video, y me he inscrito de inmediato. Lo veo muy atractivo una mujer guapa que domine los cálculos. Eres sabor doble Nancy…

  • Ali Xan 4 years ago

    If she was my teacher I’d have 100% attendance..

    • Anuj Chauhan 3 years ago

      Very sexy madam

    • Shoaib Qadir 3 years ago

      Anuj Chauhan lanat

    • H. C. 3 years ago

      Anuj Chauhan youre super ugly

    • Purab Ahuja 3 years ago

      I’d attend extra classes too

    • Aadit Munjal 3 years ago

      @Anuj Chauhan inappropriate

  • Tiago Oliveira 4 years ago

    how was this filmed ?

  • jimbo jim 4 years ago

    Nancy u r the best teacher in the world. I love ur teaching.

  • Shamanistical1 4 years ago

    Cute cute

  • Hmoob Hnub No 4 years ago

    Nancy you are the bomb girl!

  • Taj Mahal Badalandabad 4 years ago

    I really like you 😍

  • kien trung 4 years ago

    A good teacher do not 100% make a good student. A hot teacher : yes

    • Omari Lewis 4 years ago

      Love her

  • Planet Awesome 4 years ago

    why log and its use in daily life

  • Guillermo García 4 years ago

    Fell in love with math all over again

  • astafzciba 4 years ago

    your too beautiful, it’s illegal for you to teach math.

    • Conan the Septuagenarian 4 years ago


  • feelinglucky duck 4 years ago

    I wanted to see the cute math chick…dropping logs.

  • Thabiso Dlamini 4 years ago

    that’s y I love you Nancy , you always get me out of my misery … Thank you so much

  • Rilakuma Cake rolls 4 years ago


  • Safiullah Nafiz 4 years ago

    You’re genious

  • ßy Kurmanjî 4 years ago

    I think you don’t using your left arm, you using mirror effect.


    Math is a very easy to understand but need to update (Practice),otherwise very difficult to revise.

  • Devilion901 4 years ago

    how the hell did you write backwards o.o

  • sameer mansour 4 years ago

    Nancy , you are so great ! thanks alot

  • Victor Nitt 4 years ago

    Like for this video…. ll subscribe when u post more on weird logs

  • Victor Nitt 4 years ago

    Cutie pie suits u……

  • Victor Nitt 4 years ago

    Can u make video on Fourier transform ?

  • aFreeman0409 4 years ago

    I will never be able to learn logarithms from NancyPi; my biorhythms keep getting in the way…

    • ayeluru 4 years ago

      aFreeman0409 😀😀

    • Omari Lewis 4 years ago

      I’m dead!!

    • aFreeman0409 4 years ago

      @Omari Lewis
      You must be – if you can watch this beautiful woman and still think straight…

  • خطاب القيسي 4 years ago

    I love you teacher nanse

  • syed umais 4 years ago

    pleasant voice and shy smile

  • Paul G68 4 years ago

    Hey Nancy, great video but maybe you should have explained what e is. It helps to demystify this magical e. Yes its a number, but I’m guessing that’s confused people to what its used for and where it came from – or a link maybe. Also, it’s also worth pointing out the Ln is the opposite of e. So in your example for ln(e^3), you didn’t have to do anything at all since one is the inverse and they cancel to 3 Sort of like taking the square root of a squared power – after you showed your workings of course.

  • ODD 2004 4 years ago

    Honestly all these thirsty comments are disgusting. She’s not a sexual object to satisfy your gross desires, she’s a teacher so instead of thirsting over her why don’t u actually listen to her as a teacher and not as an object

  • Suyog Dixit 4 years ago

    You can distracting.

  • Mike Xue 4 years ago

    to be honest, i am favorite of logarithm, but you are!

  • Max Warfield 4 years ago

    Most soothing voice EVER!

  • watchit101 4 years ago

    thank you for this simple explanation! I am struggling in my online math class and this is a HUGE help, 🙂

    • S Zakaria 4 years ago

      Enjoy dude!

  • Omari Lewis 4 years ago

    I don’t know if I’m here for her or the math. Dang, If I had teachers this pretty I’d be a pretty smart guy.. 🙂

  • jaya tissa 4 years ago

    Can you read it as log 9 base 3?

  • AllyBee TV 4 years ago


  • Saint Christopher 4 years ago

    yes she is gorgeous BUT did I miss where she defines a logarithm

  • Saint Christopher 4 years ago

    just typed into Bing…log10(-1) = 1.36437635i not a real number …if you like you could say you broke out of real numbers into the complex planeC

  • Saint Christopher 4 years ago

    imagine 100 dollars in various banks for a year all running the accounst differently
     . if the compound interest is added more often ,proportionately, you get more cash .e is the multiplier you get in the limit as the pennies get added more and more often.
    e=(1+1/n ) ^n
    n goes to infinity

  • Youssef Elmasry 4 years ago

    I like math. Math is beautiful.

  • Jason Statham 4 years ago

    I am so distracted by your beauty

  • Biswajit Singha 4 years ago

    I am loving it

  • S Zakaria 4 years ago

    You’re beautiful, sexy and smart. We love you Nancy !

    • S Zakaria 4 years ago

      I appreciate your teaching method !

  • cutech87 4 years ago

    Never thought math could be so beautiful. Now, I’m in love with math. Thank you!

  • Aguacate 805 4 years ago

    She seem so excited when she said you can like my video🤧

  • YO MRTZ 4 years ago

    Asu estas chulisima, preciosa, mua!!!

  • brian tyt 4 years ago

    suddenly im intersted in math

  • Ankit Kumawat 4 years ago

    Very Lucid explanation. Even a middle school child can understand it. Good and keep it up, Nancy

  • Andriy Levytskyy 4 years ago

    wait, is she writing backwards?

  • Airo mehraein 4 years ago

    Forget all come i learn u new math from old persian empire civiltion IRAN 3/6/9

    • Leo Volont 4 years ago

      Hi Airo, It is fascinating to find somebody who is interested in Old Person Civilization. I thought after the Arab Conquest the Persians were made to entirely give up their heritage and take up the ways of their Foreign Overlords. It amazes me today, that Iranians (the direct descendants of the Noble Persians), whose Arch Enemies are the Arabs still cling to the Arab Religion that was foisted on them due to their unfortunate defeat, when their Original Religion, Zoroastrianism, was the FIRST Religion of the Book and Zarathustra the FIRST Prophet of the FIRST Moral Religion.

  • Roy Davenport 4 years ago

    just finished my final-

  • Eduarda B. 4 years ago

    Thank you so much, I’ve been beaten up by math but then your video saved my life

  • Risky Gaming 4 years ago

    why am i watching this , i am not even math student.

  • vikas saini 4 years ago

    i love 😍 love 😍 love 😍 love 😍 love 😍 love 😍 love 😍 love 😍 love 😍 love 😍 you nancy pi the way you teach is average but you are looking awesome awesome lovely

  • Ashwini bagul 4 years ago

    log e^x=? plz rpl

  • DEEPANSHU Singh prajapati 4 years ago

    Hiii,I am from india ,I really understand

  • Rational Logic 4 years ago

    Clearly I need to go back to school. I got lost at “log”.

  • mohsin wajid 4 years ago

    u r so beautiful

  • Neponset River 4 years ago

    NancyPi? More like Cutey Pie.

  • Clifford Hodge 4 years ago

    Very helpful. Thank you.

  • aldair wachenje 4 years ago

    Thanks so much for the explanation,I never had an idea of what (ln) stands for.just left blank spaces on my exam paper

  • Hyperbolic Chamber 4 years ago

    She has a real gift writing backwards, WOW!

  • Abdel Rahim 4 years ago

    Salam aleykom , peace with you.
    I was flipping with special effects until I realized that you wrote with your left hand, ha ha ha ha.
    Congratulations for your videos and your system, it’s really brilliant.

    • Zero 4 years ago

      u r still flipped tho

  • Sergio Martinez 4 years ago

    Marry me?

  • Shin Charley 4 years ago

    Thank you Nancy. This is beautiful lecture. Thank you very much.

  • Spaide man 4 years ago

    i dont see any log, i see a beautiful tree 😉

  • Queenie Q 4 years ago

    Hi Nancy
    Could you show ratio and proportions and K constant please?

  • joseph c j. idukki 4 years ago


  • rebecca yohannes 4 years ago

    This helped me so much thank you

  • K KK 2.0 4 years ago

    I know logarithms pretty well and I have nothing to do with maths anymore. but still I watched this video just because of you ❤️

  • Marcel Meijer 4 years ago

    Very helpfull, thank you!

  • Dave von Orlando 4 years ago

    Great and simple explanation! Thank you for helping me revise the logarithms!

  • George Caballero 4 years ago

    Where were you when I was in college, you would make my life less miserable. Thanks for the videos

  • Funny video 4 years ago

    Your mobile no mam please take me

  • Kostiantyn Denysenko 4 years ago

    @NancyPi correction log(0)= -∞ as far as I remember from university.Also, log(-1) is also defined log(-1)= (i π)/ln(10).

    I’m also curious where does log= log10 coming from. I was always using log x(y) as generic, lg=log 10(y), ln=log e(x). Has something changed in notation?

    • Michael Edenfield 4 years ago

      It depends on which discipline you’re in. In general, “log” means log base 10, but I have also seen it defined as log base 2 or even on occasion log base e. I would just avoid using it without a base. It mostly gets used for “whichever log we use the most”.

  • THE DESTROYER 4 years ago

    Best explanation thank you maam

  • Becky S 4 years ago

    Not one video with sleeves. It must be hot in your studio there.

  • suraj bhatt 4 years ago

    I love maths. That’s why i am here i swear.

  • youtube test 4 years ago

    Ok , but better on 1.25 speed for me.

  • Otis W 4 years ago

    AmaZing! Thank you for such a simplified way of explaining this.

  • Lozada's 4 years ago

    Very good explanation. Subscribe to us the Lozadas, I love math!!!

  • elnubnub 4 years ago

    Man, why do guys become stupid when a good looking woman speak, I’m a dude myself, but when I want to jerk off, I watch porn and when I want to learn something I go on YouTube and LISTEN to what the person says…. Why don’t you guys don’t give her more credit for the smart things she says instead of just her looks, her DNA, it’s so sad, not being able to look at intelligence and see how beautiful a smart dialogue is, seeing intelligence as an inferior attribute compared to looks …. of course she uses her looks to get views, don’t fall into that trap, be smarter

  • Chandan Kumar 4 years ago

    Hello madam I love you

  • Oliver C 4 years ago

    What is log used for in the real world? I bet I can find another way around this if you show me where it is used.

    • Hari Purwanto 4 years ago

      To measure pH, you use log.

      To calculate the pH of an aqueous solution you need to know the concentration of the hydronium ion in moles per liter (molarity).  The pH is then calculated using the expression:

      pH = – log [H3O+].

      Example:  Find the pH of a 0.0025 M HCl solution.  The HCl is a strong acid and is 100% ionized in water.  The hydronium ion concentration is 0.0025 M.  Thus:

      pH  =  – log (0.0025) = – ( – 2.60) = 2.60

  • Brian Tristam Williams 4 years ago

    I just came for the fawning wankers who could only comment on her appearance and not the subject matter. I was not disappointed.

  • Mahmoud Elhaddad 4 years ago

    I’ve been suffering learning this easy concept, but you’ve planted into my mind. The book is very confusing as well as the teacher; both were so stupid! Your way is so easy. Thanks so much!

  • Sam TALES 4 years ago

    I wish my maths teacher was this hot

  • AIM to AIIMS 4 years ago

    I don’t understand till now how they right like that🤔🤔😨😱

  • Dominic BS 4 years ago

    Your so gorgeous and brainy. Thanks for the info

  • Sky Fly 4 years ago

    I have a question that says

    Use common logarithms or natural logarithms and a calculator to evaluate to four decimal places.

    Evaluate the expression:

    Log pi 68 is aprox what

    How on earth do I put that in my calculator lol. Do I input log 68 / log (pi) ? Please

    Using a Ti-30x IIs . We are required to only use these in the testing center 🙄

    • dinesh singh 4 years ago

      Hii iam from india , be friend

  • Oswald Crudin 4 years ago

    This is m’y phone nimber :

  • Abhishek Dadhich 4 years ago

    How many of us watched the whole video and then realize that we have no connection with mathematics and watched the video just because of her.

  • masikhonzane ntipha 4 years ago

    Am I the only one who’s very attracted to her? Wow.. if only you were my tutor 🙂

  • Edigy 4 years ago

    Algebra and calculus were torture for me. This seems easier to understand but I need an example of real life use of this knowledge…

  • MK25 4 years ago

    I can’t even concentrate. What did she say in this video?

  • Eduardo Guedes 4 years ago

    although I have no idea what I have to do with “logs” youtube recommended me it. I just Watched it anyway.

  • Mark Cardinal 4 years ago


  • 刘宇龙 4 years ago


  • Mark Cross 4 years ago

    she’s too cute. 😍

  • cmonkey63 4 years ago

    In the first minutes I thought she was highlighting with lipstick. I really should watch these with my glasses on. Good explanations, though.

  • Vaibhav Sharma 4 years ago

    Speak hindi

  • Vaibhav Sharma 4 years ago


  • Vaibhav Sharma 4 years ago

    Your English is not clear

    • Naoman Tabassam 4 years ago

      You must be deaf 🙁

  • Atilla Başer 4 years ago

    Matematiği boşver , sen gel türkiyeye sana kahve yapayım. Bun sorunlarımızı birlikte çözeriz.

  • Atilla Başer 4 years ago

    Nancy Pi Senden matematik öğretmeni olmaz. Kimse seni dinlemez. Sadece seyreder. Benimde matemetik öğretmenim vardı tıpkı senin gibi, sınıfta kaldım.

  • Dark Knight 4 years ago

    Hot logarithmic operations must be the title🙈🙈🙈

  • aaron ramly 4 years ago

    1 question. how do u light this setup ? can u show us how do u this behind the scene ? i wonder there is no reflection at all

  • Sonu Mhra 4 years ago

    U r unique bcoz your writing skill

  • CesarConH 4 years ago

    Hi Nancy. I need help with math, especially fractions and decimals.

  • AVS 1019 4 years ago

    This video gives a great, yet simple and easy to follow explanation on how to solve logs. Thank you.

  • carron979 4 years ago

    0:11 were you writing “in the mirror” with that cute left hand?

  • carron979 4 years ago

    i’m pretty sure she is really behind a glass and writing on it “in the mirror” with her left hand. Respect!

  • Aamir Shahzad 4 years ago

    I tried couple of times to learn something from her but my intention is not moving from her 😔

  • Rob Morrison 4 years ago

    So did she write everything on that board backwards?

  • Raymond K Petry 4 years ago

    *_…llogs, lllogs… just wait ’til (neg)Entropy where everything-information is ‘p log p’…_*

  • Raymond K Petry 4 years ago

    *_…I think the ‘strangest’ effect of log, is, that, derivative d/dx xⁿ = nxⁿ⁻¹ except n=0 where x is not-really in the equation, and, because, d/dx ln x = x⁻¹… but then think-about what that means really-close-to-zero n → 0, it looks almost-right but how does xᵋ/ε → ln x…_*

  • Axl Cruz 4 years ago

    Dicen que todos los zurdos escribimos bien culero :v ella es zurda y escribe súper bien jajaja….

  • Sociedade Científica 4 years ago

    OMG, porque eu não consigo aprender inglês, ajudaria tanto minha vida

    • QuitBullshitScience 4 years ago

      pode aprendrer no YouTube 🙂

  • wrOngplanet 4 years ago

    So, a few minutes ago I was at a some statistics webpage which had a video with an INCREDIBLY low audio volume, so cranked it up to max. Left the computer a while, then got back on youtube. Hey, logarithms (and cute girl)! I should brush up. “HI GUYS I AM NANCY, AND I’M GOING TO SHOW” (panicky lowering audio volume) “… logarithms”.. Oh, shouldn’t have lowered it just that quick (“I swear it was a math video!” lol). Nice video though!

  • Amilcar C. da Silva 4 years ago

    great explanation. Many thanks NancyPi. great teacher and yes pretty teacher…you do fantastic job…keep on posting.

  • Sunil Solanki 4 years ago

    Nice knowledge madam

  • Mark Hake 4 years ago

    Nancy, How you solve this: I want to determine how many years a stock will double if it makes 8.56% a year. (1+.0856)^x = 2. Solve for x.

  • Henry Tjernlund 4 years ago

    Nice and concise presentation. Thanks.

  • Redigeraren Eller 4 years ago

    Thank you for the great video! Keep up with the good work👊

  • Phoenix Q 4 years ago

    Would yall quit it with the creepy comments for five minutes?

    In all seriousness this video was super helpful and I thank you for that.

    • antonio 4 years ago

      She is pretty though, right?

    • Dorian Taylor 4 years ago

      For REAL! The cmments are over the top.

    • antonio 4 years ago

      We can’t…

  • Lucas Tini 4 years ago

    That way to pronounce “X” 🥰

  • Incorrigible Panda 4 years ago

    I always knew logs where bullshit verbose syntax made up by math nerds to confuse everyone else.

  • Yellowmenace2003 A.r 4 years ago

    I love you so much.. you just saved my math career😇

  • Ryley The Artist 4 years ago

    You’re the reason I succeed in mathematics

  • Freeda Peeple 4 years ago

    It wasn’t all that long ago that women were not really allowed to be smart, and especially not smart AND pretty. At least we’ve made SOME progress…

  • PSYCHO DAD 4 years ago

    was she talking ?

  • sergine Parice 4 years ago

    This was very helpful. Thank you so much!

  • Mimic,the mimicry wala gamer 4 years ago

    Is she indian

    • Mimic,the mimicry wala gamer 4 years ago

      Or an nri

    • Mimic,the mimicry wala gamer 4 years ago

      Is she writting everything inverted how could be it possible

  • pascal retif 4 years ago

    Merci NancyPi pour cette vidéo sur le log dont j’avais oublié les bases. Curieusement, le temps passé à vous écouter est plus léger : cela vient-il de votre joli sourire ? Finalement avec vous les maths sont plus faciles : comment est-ce possible ? 🙂

  • product review 4 years ago

    so much in a nutshell

  • product review 4 years ago

    more videos on log

  • Clorox 4 years ago

    Y’all I think I’m gay ive been looking at her the whole time 💀

  • No More Libs 4 years ago

    I can’t stop thinking of Nancy’s Pi.

    • jlan 4 years ago

      Me neither

  • #hashtag education 4 years ago


  • Tallia Wray 4 years ago

    this was pretty helpful.

  • Michael Edenfield 4 years ago

    I usually really like the tricks and shortcuts you show here, but I’m not a huge fan of this way to rewrite logs as exponentials. It’s too “cargo cult mathy” IMHO. I think it’s just as easy, and more informative, to explain the math that’s happening here. You are taking both sides of an equation and treating them as an exponent, and raising some value to that exponent. Then the exponent and log operators cancel out because they’re inverses: 10 ^ (log_10(x)) = x.

    So if you have log_3(9) = x, you raise 3 to the power of each side of the equation –> 3 ^ (log_3(9)) = 3^x, then because 3^(log_3(whatever)) cancels, this becomes 9 = 3^x.

  • Liberalismo a Todo Gas 4 years ago

    Nancy you are a Libertarian teacher! Greetings!

  • teppolundgren 4 years ago

    Logs………..oh god.

  • Pandu Balaji constructon 4 years ago


  • Saju Chacko 4 years ago

    Thank you so much. It really helped me a lot!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!

  • Rohan Khubchandani 4 years ago

    I literally couldn’t understand anything my math teacher was saying, and I watch your video and I understand everything perfectly.

  • Norman P. 4 years ago

    What I learned from this video:
    She’s damn pretty.
    She’s knows math.
    She can write backwards flawlessly (Or she just flipped the video).

    If only I could get over her prettiness, I could learn that math too.

    • Jhon Agustinus Yahya 4 years ago

      Flipped the video, exactly

  • Roberto Taveira 4 years ago

    NancyPi se eu entendi bem, você ao escrever, faz da direita para a esquerda.
    É isso?
    Escreve em um vidro em sua frente e da direita para a esquerda, para que no vídeo a escreita fique em nosso sentido correto?
    Letra perfeita.
    utilizei o google tradutor

    • QuitBullshitScience 4 years ago

      ela vira o video na montagem

    • Roberto Taveira 4 years ago

      @QuitBullshitScience Eu cheguei a pensar nisso mas não me parece efeitos de edição.
      Veja em 3 min 28 s uma dificuldade em concluir o traço do “x = 2”
      Eu creio que ela consegue escrever as letras no sentido oposto.
      Não estou certo disso – sem pensar na capacidade mental para conseguir isso e falar ao mesmo tempo.
      Mas se for isso, fica claro que ela tem uma capacidade fenomenal com a matemática.

    • QuitBullshitScience 4 years ago

      @Roberto Taveira posso dizer q ela vira o video com o instagram dela, pode ver disso facilmente com o cabelo dela. Oq vc acha disso ?

    • Roberto Taveira 4 years ago

      @QuitBullshitScience De fato eu não sei como elas fez o vídeo, disso eu tenho certeza.
      Ela responde isso neste vídeo:

      Talvez ela utilize o VEGAS Pro ou o Adobe After Effects.

      In fact I do not know how they made the video, I’m sure of that.
      She replies in this video:

      It may use the VEGAS Pro ou o Adobe After Effects.

      NancyPi sim isso é mágico!

      NancyPi yes this is magic

      Very good!

  • Roberto Taveira 4 years ago

    NancyPi If I understood correctly, you, when writing, do it from right to left.
    It is?
    Write in a glass in front of you and from right to left, so that in the video the writing is in our right direction?
    Perfect letter.
    I used google translator (and in the first post I posted in my language. Rssss)

  • Marzz Curro 4 years ago

    wanna say hi hehe

  • The Proob 4 years ago

    Its really to hard to concentrate on Maths when she is so pretty…

  • M Martina 4 years ago

    😱 but.. are you writing from Right to Left..?
    OH MY GOD…
    You are Great…

    • util2 4 years ago

      She’s writing normally. The video is mirrored.

  • Pris ochoo 4 years ago

    Thanks so much

  • Victor Abraham 4 years ago

    Pretty AND smart…like my math major wife.

  • Peter Jones 4 years ago

    Very nice presentation – but – when do you ever come across logs that are not to the base 10 or “e”?

  • TauP. 4 years ago

    che poppe

  • Ut Naturalem 4 years ago

    I got 100% on this test

  • Santeri Paattimäki 4 years ago

    Subscribed… Easy way to remind myself things from the high school. Sometimes you go stuff through really simply and slowly, but maybe its sometimes good to just remember the basics. thanks.

  • Евгений Мартинсон 4 years ago

    🤤 Love Logarithms!

  • Robby Channel 4 years ago

    I love you

  • Mogos Tommi 4 years ago

    I’m proud of your lesson!

  • Hayden Hairston '21 4 years ago

    Nancy is a real one

  • great kingkay 4 years ago

    How many x do you have considering 2019 is not a prime number?

  • metaTinker 4 years ago

    I clicked on this video just to see the comments ^^

    • farhana 3 years ago

      Yeah me too

    • Parvathi Cheboyina 3 years ago

      Me too

  • Bobby Digital 4 years ago

    I need to put a ring on you. Who are you?

  • Chris T 4 years ago

    best eyebrows ever! (Oh, and being intelligent just makes the whole package that much better).

  • Tanishk Yash 4 years ago

    in 13:22 e^x=1 you said that x=1. but if e=1 then the answer is different and there was no such value given for e. so how did you took e=0. Please clear my doubt???

    • Nitik Das 4 years ago

      Value of e =2.71 always. And value of log1 with any base has a ans 0. Because anything to power 0 is 1.

  • The Punisher 4 years ago

    I am sure most of us here don’t even take mathematics yet we are able to sit through a 19 min vid! What sorcery is this?

  • Murat Demiral 4 years ago


  • Murat Demiral 4 years ago

    ı am now engineeer thank you teecher

  • Ramzy CHARFI 4 years ago

    first time i attend math class since 2014

  • TheWhiteNoiseVoice 4 years ago

    ( ͡°( ͡° ͜ʖ( ͡° ͜ʖ ͡°)ʖ ͡°) ͡°)

  • King Krust williams 4 years ago

    best way to teach perverts math

  • I am KDS 4 years ago

    I love you miss you are so beautiful I love you

  • Sugandh Shreshta 4 years ago

    beauti with brain she is perfect

  • william pulver 4 years ago

    you got me to the closest of understanding…the basic…..thanks

  • ArthaPedia 4 years ago

    i thought megan fox is teaching maths

  • Spicy 4 years ago

    You’re truly saving my grades

  • William Rojas 4 years ago

    Eres muy linda Nancy, saludos desde Venezuela…

  • prashant kumar parmanu 4 years ago

    thanks mam .. intelligent ,empathic and beautiful

    • Bruh 4 years ago

      prashant kumar parmanu ma’am*

  • Kakaroto SG 4 years ago

    para hablar otro idioma al mio te entiendo muy bien , mi ingles es básico

  • A Muragaiah 4 years ago

    Thanks to help others

  • Augusto Kee 4 years ago

    10:35 fucking mathematicians made our lives miserable by discovering Math but got away with “Undefined” log..

  • Red Angry Bird 4 years ago

    What was the video about, again??

    • N frame sprites 4 years ago

      about how smart and beautiful she is.

  • Hassy 4 years ago

    Tbh I’m not even here for the maths. Here for her beauty😍

  • Kenyce 4 years ago


    • Nathaniel Leitch 4 years ago

      Kenyce she flips the video. So she’s writing with her right hand on her side of the glass and flips the video

  • stuart paterson 4 years ago

    it is so wierd how much i love these…

  • Kay P 4 years ago

    I grew up in the 90s. I teach math. I tell my students how I remember the change of base formula. When I see a problem that needs the formula I always remember “Ace of Base” for change of base formula. I “saw the sign”… I know it’s corny but it works.

  • French Mike 4 years ago

    you are a great teacher. Most other go way to fast and are just confusing teachers. I appreciate your style. I learn a lot from you, aint’ you the woman on udemy as well. great all around.

  • Tess K 4 years ago

    Thank you!!!!!!!! Xxxxxxoooxoxo

  • Yip Wei Kwok 4 years ago

    So pretty. Also helpful maths video awesome

  • Neelakshi Gangwar 4 years ago

    Nancy I didn’t understand what is e?

  • Neelakshi Gangwar 4 years ago

    Please make another video for it!

  • Élysée Pasteur 4 years ago

    Congratulations on your accurate explanations!
    Actually I’ve been impressed by this phenomenon of writing on the glass I guess.
    Could you explane what and how come? You did it!
    Is this mystery related to math!
    Thanks in advance for your reply!
    Keep doing!

  • Que Luu 4 years ago

    hot teacher

  • Aiden Ali 4 years ago

    Thank u

  • David Diaz 4 years ago

    Good work Nancy

  • prashast sidhant 4 years ago

    I like maths, and I like your videos too. Just don’t stop making videos and that’s a student’s request 🙏🙏🙏

    • Prashant Sahu 4 years ago


  • Алексей Астахов 4 years ago

    nice speaker

  • Azhagar Samy 4 years ago

    Nice mam

  • Rejo Koruth 4 years ago

    Great video helped alot

  • Rafid Alani 4 years ago

    In certain point I noticed that I stopped following the math, and I am just watching with a smile! Beauty with math and I can guess that you are kind as well. Adding kindness will make you perfect.
    I’ll get back later hoping to find a similar question to that I was looking for, in your videos.

  • Matej Podlesnik 4 years ago

    How can you write like that???

  • Zogg from Betelgeuse 4 years ago

    I always memories the rules for powers and logs by imaging that powers are like a ladder to heaven, and logs like the gates of hell. So, “e^(x+y)=e^x × e^y” translated to “When humans multiply, angels have only to add”, and “ln(x×y)=lnx + lny” becomes “When humans add, devils must multiply”.

  • Eng-Riad Almadani 4 years ago

    Logarithms from where???

  • Tom 4 years ago

    I have a degree in aerospace engineering but no issues watching this fully concentrated to the end

  • Ahmed Helali 4 years ago

    Yeah math . basically i didn’t understand a word but thanks ,feast my eyes

  • Anthony Woodroffe 4 years ago

    Is this the same as the captain’s logs on the starship enterprise ? 😎😍🤩😊

  • WeeRd 4 years ago

    How can you write so well in backwards?? what a talent

  • Karl Saggin 4 years ago

    how t f is this person writing backwards so effortlessly wtf

  • Daniel Cooper 4 years ago

    Jesus… yes.

  • Iron Spider 4 years ago

    She should really be doing cloths try on hauls stuff like every pretty girl is doing.

  • Mark Petty 4 years ago

    Nancy, thanks for these videos. Content is just superb!

  • MHD HASSAN 4 years ago

    you are Wonderfull and beautifull teatcher. I want you to be my wife, do you marry me ?
    I am living in Paris

  • Ray Vasquez 4 years ago

    You mentioned that any number to the 0 power is 1. Does that go for 0 to the 0 power? My calculator says it is undefined.

    • Alexis Misselyn 4 years ago

      it’s unsolved. No one knows. even when graphing x^x around 0 we can’t find it. You can even try a bunch of values (1^1, 0.9^0.9, 0.5^0.5, etc, and it’s not monotonous)

    • Kyolin 4 years ago

      Thats because when you reach x^0 youre dividing that number by itself. 0 divided by 0 is undefined.

  • Marc Oliveras 4 years ago

    Are you writing backwards?

  • Rakesh Behera 4 years ago

    How would I contact with u ?

  • alpha !!!! 4 years ago

    I can watch this all day😊😊

  • Jota Martínez 4 years ago

    Que Demonios hago acá?, Buen video. XD

    • Jeanpierre Carabas 4 years ago

      Dos tetas pueden mas que dos carretas …

  • lokesh sharma 4 years ago

    What do you marriage with me

  • Martin Baez 4 years ago

    Que bonita

  • Zero 4 years ago

    clicked on this instead of clicking on the ones with million views , u know why :V

  • Ahmed Saleh 4 years ago

    God the way she explains is just amazing, not to mention how pretty she is. I would have been topper in my class had this video been available in 2009

  • vision & mission 4 years ago

    Thankuhh n u r sou adorable

  • Akash deep 4 years ago

    If she gonna my maths teacher I definitely be 🙃🙃🙃🙃😇😇😇

  • Shayaan Mandal 4 years ago


  • Man Of Mesopotamia 4 years ago

    all Math teachers they go straight ahead on solving the exercise, while we need first to know how and where to use this in our practical life, for instance I know that 1+1=2 or an apple + an apple = 2 apples, but I dont know where on the wold I can use logarithms?
    so please you need to make an introduction about the practical use of the lesson, which makes us excited to learn it.
    Big Greet To You From Iraq

    • Kyolin 4 years ago

      For most people, probably never. However, the main reason logarithm is taught in basic math courses is because it is a fundamental concept. Logarithms are everywhere, though. The pH level in chemistry, interest rates in economics, decibels in sound amplitude, Richter scale in earthquakes, exposure rate in photography, estimating population, cryptography, speech recognition, etc. are all based on logarithm.

    • Man Of Mesopotamia 4 years ago

      @Kyolin wow ! know i feel the importance of learning logarithm, thanks for the info

  • ania lis 4 years ago

    How to find 5*log(1+i)

  • Abhisek Raj 4 years ago

    @NancyPi 1:20 1:30 you know youre smart and you dont have a problem doing it by thinking of log as to what power. Also, I really enjoy your video they are helping me a lot!

  • Abhisek Raj 4 years ago

    if you guys dont have 20 minutes to spare to figure out the true essence of what she is trying to tell you (even though its a wonderful video)


    know that log3(9) = 3^x = 9 and youre solving for x

    writing out your logs in that format will simplify a lot of your log solving concerns

    ln 3 means e^x = 3 (e ≈ 2.71828) e is a constant, meaning its a number an irrational one

    same thing with ln functions, just write it out

    ln e = 3 is easy when you realize e^x = e^3 x has to equal to 3

    Have a great day!

  • Naufal Hadi 4 years ago

    All of her videos is just basic math that we’ve learned in high school or first year college. I allready understand with this topic. But it’s okay because she is pretty.

  • Paweł Okrasa 4 years ago

    I did not have to watch it. I watched.

  • a kahn 4 years ago

    wish she could do Algorithms instead of simple logarithims if only beauty was proportional to the level of intellect she’d be rather doing algorithms

    • Kyolin 4 years ago

      I think her beauty is indeed proportional to her intellect as I’m sure she can see that algorithm and logarithm are two unrelated things.

    • a kahn 4 years ago

      @Kyolin You miss the point completely, you seem to be a sensitive person who tends to be defensive without actually comprehending the details and moreover lacks deeper and logical reasoning. I feel sorry for you but i agree to disagree with you

  • Waseem Siddiqui 4 years ago

    if someone has a teacher like you, do you really think students are gonna concentrate on topic?🙈😂

    • Muhammad Usama Qamar 4 years ago

      Yes they can Hawas k pujari

  • Macam2macam 4 years ago

    I don’t understand, do write backward?

  • laundry basket 4 years ago

    This is so helpful, also your voice is very beautiful, which I never knew could help me understand math haha.

  • geetam singh 4 years ago

    What is name of board
    Because I’m not know this board

    • Bear Newman 3 years ago

      its called glass

  • Amit Kumar 4 years ago

    You are looking beautiful and talented…

  • Amit Kumar 4 years ago

    Why we use logarithm problem and where use it….

  • krunal khartad 4 years ago

    I love u

  • Brajesh Sharma 4 years ago

    Hello Nancy you r pretty but incomplete without someone…
    U guess who’s that

    • Seba 4 years ago

      Wow… bastard

  • Gerardo Leon 4 years ago

    I definitely needed this video. Very good refresher for me. Thank you.

  • chinmay kamat 4 years ago

    How are you writing backwards? My mind is blown. Is there some trick I’m missing..?

    • Aya 4 years ago

      The video is flipped obviously.

  • Muse dogtraining 4 years ago

    how on earth are you writing backwards? wow but seriously thank you for this video and speaking slow and clearly

    • Marzz Curro 4 years ago

      video mirror

  • Souvik Mukherjee 4 years ago

    My whole school life is a lie when i was told the maths teachers are supposed to be ugly nerdy and without the sense of dressing and i decided to skip that subject as soon as I was given an option to choose my course after high school.

  • Karan Vito 4 years ago

    you could make a fella believe 2+2= 5

  • Voice Untold 4 years ago

    How writes on screen?

  • Tom Atencio 4 years ago

    Drop dead gorgeous and a great math teacher, I have found Nirvana!!

  • misson deffece classes by p.yadav 4 years ago


  • Ram Kumar 4 years ago

    i wish u were my high school maths teacher, i wasted my brain by memorizing stuff

  • Yachna Saxena 4 years ago

    We aren’t allowed to use calculators from where I’m at.

    • Kabiru shehu suleman 4 years ago

      Thanks a lot Nancy

  • BTS ARMY 4 years ago

    I just realized she’s left-handed

  • Anil Kumar Sharma 4 years ago

    are you able to write down the equation which satisfied heron’s fountain and endless supply of energy and electricity bills are going to decreased for forever for mankind’s😕😕😕😕😕

  • Anne Smith 4 years ago

    google – What is 3 to the power of 9 and the answer is: 19683

    • kushagra yadav 4 years ago

      it should be what power to put on 3 to get 9!

  • Exposing the Darkness with the Light of Truth 4 years ago

    Better to do it long hand…to see the steps of the breakdown.

  • Dat Louisianimal 4 years ago

    Dude I bet noone subs for the Math lmfao this chick is so hot and watching her do math makes her so much hotter its unreal

  • zhu; dhk 4 years ago

    I can’t understand why would someone use natural logs, not knowing what Euler’s number even mean… (I’m talking about 12:26)

  • JAY TAILOR 4 years ago

    She is really a gineus, she can write in opposite to custom. Beauty with brains!
    I noticed it when a person mentioned it in his comment.

    • UltimateBargains 4 years ago

      Mirrors are simple to use.
      Software image flipping is also easy to use.

  • Ramachandran Ramaswamy 4 years ago

    Dear Nancy you have taught log very very comfortably and I have understood the log now and also you are beautiful.

  • Liem H 4 years ago

    No Ring in finger.
    There is hope. YESSSS

    • panda44r 4 years ago

      You meant to say “No ring ON finger”,..not IN finger.
      If women wore the ring IN their finger, that would be quite painful, and no one would ever be able to see it.
      Of course, with your line of thinking, maybe she does have a ring IN her finger? :oP

    • Zork The Destroyer 4 years ago

      @panda44r I’m surprised you understood what he meant; it’s as if the internet doesn’t need exact spelling, all the time.

    • panda44r 4 years ago

      @Zork The Destroyer – Um, go zork yourself

  • aloluk 4 years ago

    How is she writing backwards?

  • Bob Carroll 4 years ago

    Name two left-handed people who can write backwards . . . Leonardo da Vinci and NancyPi

  • Kiran A 4 years ago

    Beauty + talent wow👌

  • Rob 4 years ago

    Wow I’m suddenly much more interested in maths for some reason

  • prashant gautam 4 years ago


  • Wunderwaffles 4 years ago

    i accidentally forgot what she was writing because i was too busy staring at her oops

  • revengeofsuperman 4 years ago

    Did she just do mirror writing with left hand? ♥♥♥

    • Élysée Pasteur 4 years ago

      She is using her right hand. exactly!

  • Jess 4 years ago

    at my school we’re thought that the when we write lg instead of log it’s implying that the base is 10.

    • Maria Stoycheva 3 years ago

      Yeah right. I think that she wanted to write lg but instead wrote log

  • Priyansh Sharma 4 years ago

    swaad aagya yr

  • Warren Puckett 4 years ago

    If analog computing is still being done. The feed back capacitor on a FET can be used to generate a log curve. It gets to be real fun. That is if you are solving for X, when X is part of fractional power. It is relatively simple solution that can be done with a few hundred thousand lines of code or nine electronic parts. A task that could use this. Calculating the air fuel mixture with the output from a a oxygen sensor. That could be fed to another to calculate the pulse and timing for a fuel injector. The problem is, it is easily understood and your .gov does not like easily understood and neither does the car manufacturer.

  • Fernando L Couto 4 years ago

    Admirabile Mirifici Logarithmorum

  • RQ physics 4 years ago

    Nice one ma’am

  • a1nd23 4 years ago

    so hot… never thought math can be so sexy

  • Lord Vargorek 4 years ago

    I’m here just becouse of her 😀

  • Joseph DESTAUBIN 4 years ago

    How do you write backwards?

  • let's India be great again 4 years ago

    Hey Nancy love you

  • Koshal Somani 4 years ago


  • Mi Sirenita 4 years ago

    You’re hot teacher☺️☺️☺️!!!!

  • vishnu Ramesh.Poduval 4 years ago


  • Trg khi 4 years ago

    if all be solved through calculator why u are here..

  • Saurav Kumar 4 years ago


  • Vladimir LEGRAND 4 years ago

    Beautiful, smart and can write backwards math demonstrations

  • Skeptic Sam 4 years ago

    i watched the full video and I don’t even have an interest in science

  • Alexandre Vitoria 4 years ago

    This is the best lesson I’ve ever had in my life. Thank you very much

  • Mick , yet another one 4 years ago

    around @2:40

    it’s easier to write out:

    log3 9

    with plenty of space between the log3 and 9, then just pop in an eXponent (on the same level as the 9) and equals sign between the log3 and 9, then cross out the log. yielding:

    —3^x = 9

    because the 3 is a subscript in the first place, writing a normal x next to it, then crossing out the log makes it look like a normal exponent. and this way you only write the thing once, leaving less drama all over the page to get confused by.

    • Mick , yet another one 4 years ago


      you should have started the whole topic of logarithms off by explaining how powers work:

      3^4 = 1 *3 *3 *3 *3 ; start with one and multiply it by the base exponent times
      3^0 = 1 ; start with one and do nothing, because the exponent is zero, so multiplying one by the base zero times yields one
      3^-4 = 1 /3 /3 /3 /3 ; start with one and repeatedly divide by the base because division is the opposite/negative of multiplication

      afaict, absolutely nobody teaches powers this way, but it is correct and makes everything clear in just 3 lines of notes. and now you don’t have to randomly memorize that a power of zero yields one, or a negative exponent yields fractions, because all of the parts have a meaning and those meanings all contribute and make perfect sense.

      you might notice that this has a few broader implications, too. for one it means that the correct way to count is to start at zero, and in practice this pans out, because before you can start listing off numbers you must arrange the stuff you’re counting with a starting place, the edge of that starting place which you will use as reference to count from is zero. additionally, zero is where coordinate systems propagate from, and where operations like division (iterative subtraction) and integration terminate.

      this also implies that every number to the zero power is one, because it is now the definition of how exponents work. this means that mathematicians who view 0^0 as undefinable are wrong. and when you look at why they believe it to be undefinable the reasoning is faulty anyway, even if they were correct, because they’re looking at a discontinuity around 0^0 as evidence that it can’t exist. but it’s trivial to make such discontinuities that can be evaluated, so that’s not actually evidence of anything. it’s essentially like arguing that you can’t get inside your home because you can’t get into it from every single direction, which is clearly absurd.

      this account of powers also aligns with a thorough treatment of n-dimensional volumes. here all you can say about 0-space objects (points) is whether they exist (1) or not (0). in 1-space you can measure length (1 *x). in 2-space you can measure area (1 *x *y), but since all shapes can be bounded by a rectangle they’ll each have their own shape constant (which are values between 1 and 0, since some of the points in the bounding rectangle exist, while others do not), like 1/2 for triangles (1/2 *x *y), or pi/4 for ellipses (pi/4 *x *y). in 3-space you can measure volume (1 *x *y *z), and again all shapes can be bounded by rectangular prisms, and so have their own shape constant, like 1/3 for pyramids (1/3 *x *y *z), or combinatorial shape constants, like for a cone (1/3 * pi/4 *x *y *z), or a sphere (2/3 * pi/4 *x *y *z).

      you’ll probably notice that I’m using pi/4 rather than pi as the fundamental circle constant. this is also for deep reasons, only one of which is that it exists between 1 and 0, which is required for shape constants. for one, it’s the angle around which the trigonometric functions reflect, so that the prefix ‘co-‘ effectively means ‘reflected across pi/4’, so that cosine = sine reflected across pi/4, cotangent = tangent reflected across pi/4, cosecant = secant reflected across pi/4. it also relates both area and perimeter length to a straight line length on circles, which is insane. further, the traditional equation for finding the area of a circle, a = pi * r^2, follows a paradoxical philosophy because if you applied the same method of finding area to a square (the fundamental unit of area) then it would be impossible to find the area of that square as you would fall into an infinite regress, as taking the area of a square would require finding the area of a square 1/4 the size, which then requires finding the area of a square 1/4 of its size, ad infinitvm. using a = pi/4 * d^2 avoids this paradox, being a method that extends unproblematically to all shapes. additionally, all of the other proposed fundamental circle constants, pi/2, pi and tau (2 * pi), are power of 2 harmonics of pi/4, or more importantly, they’re the multiples of pi/4 which align with axes of symmetry on a square, pi/4 representing a 1/8 right triangle, pi/2 representing a 1/4 subsquare, pi representing a 1/2 rectangle, and tau representing the entire square. these are precisely the lines of symmetry on which the ellipse/circle constant pi/4 relates both area and perimeter length, and thus all of the previously proposed fundamental circle constants are simultaneously correct and incorrect, because they inherent most, but not all, of the properties of pi/4.

  • RODS 4 years ago

    Sorry this is not how you learn Logarithms!
    Nice and easy when you use easy numbers and know the answer reverse teaching bad.
    Weird is not a math or scientific term
    “Undefined” why not draw a log graph then you can show that you cannot have -1 or 0
    What’s e? its a “special number ” WTF (compound interest /exponential growth and decay)

    This is seriously not even early high school algebra
    log10(7)/Log10(2)=0.84509804/0.301029996=2.807354922 (Weird numbers)
    This is just titty click bait! I did give it a thumbs up but!

  • Zork The Destroyer 4 years ago

    the snail method, It’s a ‘logarithmic spiral’ lol

  • Daniel Black 4 years ago

    Just wanna say: I have an undergrad degree in math and learned some stuff. This was exceedingly well-paced and well-explained. Great work

  • Javed Shah 4 years ago

    Navy I really like you

  • Javed Shah 4 years ago


  • Mason P 4 years ago

    So glad I found your material! I have a test today and was having a bit of trouble. The way you rewrite it out first makes it so much more simple to understand. My professor didn’t explain it quite as well. Thank you for taking the time to make these for all of us who struggle! Also, you write backwards perfectly!

  • proffmongo 4 years ago

    What an awesome use of dyslexia.Writing backwards for our benefit!

  • Віталік Воробій 4 years ago

    Great tutorial and explanation!

  • latifa 4 years ago

    Thhhaaannnnkkkk yoooouuuuu sssoooooooo mmmmuuuuucccchhhh 😆💖💖💖!

  • moumous 4 years ago

    e^(pi*i)=-1 … so couldn’t log (-1) have a solution???

  • moumous 4 years ago

    I know all of this… but still watching…

  • moumous 4 years ago

    she looked so innocent so far and then…. 19:09 hahahahahahah!!!

  • Mohamed1010 4 years ago

    i love math now

  • An Ordinary Man 4 years ago

    I’m 61 years old and never got Logarithms. You make it so easy and concise. I do have one question: what is a practical application or purpose for logs. That’s one of the reasons I did not understand a lot of upper level math. No real world applications given during the instruction. Thanks again.

  • Richard Le 4 years ago

    She is more than a math teacher ‼️‼️❤️❤️❤️❤️❤️❤️❤️❤️❤️Can we get married ?????? ❤️❤️🙏🙏🙏🙏🙏🙏🙏🙏🙏🌹🌹🌹🌹🌹🌹🌹🌹🌹🌹👍

  • HEMANT YADAV 4 years ago

    Nancy mam is beautiful

  • sultan atatur 4 years ago


    • Soda Rehberi 4 years ago

      I’m OK with black people. Is he Shaq in your profile photo?

    • sultan atatur 4 years ago

      @Soda Rehberi no one cares about u . i asked Nancypi whether she likes black males or not . i like to take her on a date .

  • vivek hari narayanan.v 4 years ago

    capitalistic way of approach….get the answer any which way…coz, I need to loot students for more and more money…heck, teach what is log and why exponential and logs are convertible…then go for examples….Free tip for interested students: Read the Soviet math book “Areas and Logarithms” by Markushevich” to understand the why and what of logarithms and areas…and then continue solving examples…no offense plzzz….

  • Dennis Rendfrey 4 years ago

    Thank You!! I’m also on summer vacation heading into Pre-Calculus . The mnemonic device (snail) works for me!!! And I’m 67 yrs young. Great teaching method!!

  • Tian Cabalhin 4 years ago

    I wish I had a sister like you <3

    • TheMysteriousOne 3 years ago

      A SISTER !?!

  • Zaki Zaki 4 years ago

    Your are Beautiful <3

  • Dinesh Saini 4 years ago

    Hiii call meeee

  • nathanj0599 4 years ago

    ily Nancy

  • Xavier Rodriguez 4 years ago

    I pray to God this woman comes and visits me in my sleep. Beautiful facial muscles :3

  • Bon Sheedy 4 years ago

    is there an imaginary solution at 11:00 to the question on the right?

    • Ronald Jensen 4 years ago

      Yes, imaginary numbers let us solve ln(-1) = πi and we can also use limits to say “log(0) = – infinity” … It baffles me why lower level math classes teach absolute rules that higher level math classes show are not absolute rules at all.

    • Bon Sheedy 4 years ago

      @Ronald Jensen Hey, thanks for the reply. I’ll look into those.

  • Martin Žačok 4 years ago

    You are nice! 🙂

  • M Romero 4 years ago

    Ah! This is frustrating. You do a fantastic job; im just slow. I one of those that needs an explanation for every little step.

  • Fryad Rafeeq Saleem 4 years ago

    You are an amazing teacher.

  • geni bedi 4 years ago

    thank you very much

  • Zidane Bi 4 years ago


  • Omnislash2000 4 years ago

    Why does she assume that log 10000 is to base 10?

    • Ronald Jensen 4 years ago

      That is a common convention in elementary math… In computer science it usually does not hold true, most programming languages use “log” as the natural log by default.

  • Waseem ul-haq 4 years ago

    i am just totally into you

  • sanjeev misra 4 years ago

    Fuckin’ BS comments

  • Amir Raheem 4 years ago

    Hey beautiful teacher, is the answer for the last question 2.807??

  • Sebastian Moszczyński 4 years ago

    complex numbers: log(-1) = i*pi

    • Al. Carissimi 4 years ago

      If the basis was e.

  • louis atking 4 years ago

    I can not. its too difficult for me ………. I can not even keep on listening to ur voice ……im getting crazy as fuck

  • Stefan Teslic 4 years ago

    No, thank you for your help with this one.

  • jbkrab 4 years ago

    e to the x, dx, dx
    e to the y, dy, dy
    Secant, Tangant, Cosine, Sine

  • Jo Fe 4 years ago

    ASMR + Math + English Class. This is why I like Youtube.

  • J 4 years ago

    I have a comment. Instead of teaching us mechanically plugging values, why did not you start with why even logarithm came into existence? such background can help the student to stick longer with the concepts.

  • Acapella Synch 4 years ago

    я не пойму, у неё с дикцией проблемы, или это манера речи такая?

    • Soda Rehberi 4 years ago

      It’s just any native person’s way of speaking. Clear, understandable. But if you’re a beginner in English, it wouldn’t be that understandable.
      кстати, я учу русский ❤❤🙂

    • Acapella Synch 4 years ago

      @Soda Rehberi pay attention to her teeth and mouth during she says words which have letter “L”

  • Ghalem Abdelhak 4 years ago

    💖 hot math

  • Breno 4 years ago

    yes how does she write backwards

    • Leo Volont 4 years ago

      She goes in to Video Editing and just flips to Mirror Image and so it switches Left Right to Right Left so it reads good for us… Geometry!

  • ASHOK GAUTAM 4 years ago

    Which techniques do you use to write plese tell me

  • Leo Volont 4 years ago

    Hi Nancy, Hi Everyone. You didn’t tell us that we can pull an Exponent out of the Argument of a LOG or LN and set it out in front, so that LN2^3 is 3LN2. It often makes things a lot easier knowing that one can move that Exponent out.

  • Glenn Floyd 4 years ago

    Now my life has meaning?

  • Edanur Mirzaoğlu 4 years ago

    Napayım yani NAPAYIM Türk öğretmenler güzel anlatsin djdj

  • Sarah Nakutoi Akule 4 years ago

    how a nice lecture she is NancyPi surely you should be a teacher from God

  • Dilip Singh 4 years ago

    Nancy how u write backward ??? , please make a video on this

    • Jhon Agustinus Yahya 4 years ago

      Just flipped the video

  • Thevidjou Hausiang 4 years ago

    I was opening the YouTube app to listen to some lullaby to make me sleep, but found myself not blinking for the last 20 minutes and learning the basic of Logs. Her teaching method is so easy and calm that it’s easier than drinking water. I feel like I’m hypnotized. Lol

  • Thomas Tufts 4 years ago

    Well taught! Thanks for the lesson!

  • F Liu 4 years ago

    Can you teach me your personal logarithms to be your boyfriend?

  • KUNDAN SINGH 4 years ago

    Please describe about Fourier series

  • randy brandon 4 years ago

    I just stumbled onto you the next time I watch it I’m going to be sober I love this stuff I wish I could understand all of it I’ll be seeing you again sober

  • Golu Agarwal 4 years ago

    Math is secandary things but how you are teaching in white background 😍 ye sikhna hai mujhe

  • Furkan Akdeniz 4 years ago

    nasıl ters yazıyor lan

  • Marlos Campos 4 years ago

    Very good!

  • Smart Guys Analytics 4 years ago

    This young lady is remarkable: lot’s of video’s on calculus, trigonometry, algebra etc and they are all easy to follow with simple to follow notation. Really fantastic stuff!

  • Ornicar Ornicar 4 years ago

    It took me about 3 minutes to figure out that you are, in fact, right-handed.

    • shinobi 4 years ago


    • Ornicar Ornicar 4 years ago

      @shinobi She writes on a screen in front of her and then the video is flipped left-right

    • shinobi 4 years ago

      @Ornicar Ornicar your explanation right 🙂👍🏻

  • Sven Be KGB 4 years ago

    some NASA stuff…but nice 🙂

  • J D 4 years ago

    Very interesting
    The teacher writes backwards

    I’ll save and watch later

  • shinobi 4 years ago

    The first time I watch a lesson on Logs and I actually like it.

  • Stefan Rűsz 4 years ago


  • Jaime Warlock 4 years ago

    log3 of 9 -> ln 9/ln3 -> 2.

  • Paul Francis 4 years ago

    how come she’s so bright ? this ain’t fare !

  • Sabrish Gopalakrishnan 4 years ago

    Physicists: log to the base of an electron….hmmm…hmmm…
    Another one:
    take x, raise it, care for it and provide for it, send it to college, pay its tuition fees, and when it becomes 32, you never hear from it again!

    • Noureddine Rached 4 years ago

      cool jokes mate, thanks

  • Shraddha Shukla 4 years ago

    Superb mam

  • Joel Alberto Pereira da Silva 4 years ago

    I don’t want to be disrespectful. But, better than an intelligent teacher, is an intelligent and pretty teacher.

  • Syed Mohsin Abbas 4 years ago

    Trust me if you was my teacher when I was student I would never miss even a single class. You are really beautiful!!!

  • Hannibal Lecter 4 years ago

    She is so pretty and sweet! It make fun to lean from her 🙂

  • yadagiri lakshmi narasimha kishore Mallela 4 years ago

    she is comfortable writing reverse on screen

  • M6BrokeMe 4 years ago

    I can’t listen to this because she is so cute!

  • Reinaldo Fanuel 4 years ago

    I really liked the way you explain this, Liked your Videos

  • Dragan Zakić 4 years ago

    NensyPi you look very nice, would you be my girl? 😉

  • Bryan Curry 4 years ago

    She’s right handed and reversed the video.

    • sysstemlord 4 years ago

      O O
      O Mind blown

  • Patrick McLaughlin 4 years ago

    none of the boys were ever late for that math class

  • MtnLiner 4 years ago

    She is a robot overlord. An AI if you will. Oh man, they know just they are doing.

  • Enrique Bermudez 4 years ago

    how do you get to write backwards?…

  • Three60five 4 years ago

    she has beautiful shoulders and arms.

  • Mladja Hadron 4 years ago

    I am in loooove in………her’s………….logarithms of course.

  • HexaGold Process Equipment & Plants 4 years ago

    I love the method of presentation.
    Write on a window, and flip the video.
    Beautiful. That way you’re looking at the camera and still writing. Beautiful.

    • Elvio Vencato 4 years ago

      You just solved the mistery.
      Thank you.

  • P.R. Mayank 4 years ago

    Finally math is interesting

  • zein norman 4 years ago

    I LOVE U

  • zein norman 4 years ago


  • Yohan V 4 years ago

    Thanks you Nancy !

  • Venkat Babu 4 years ago

    How do you get log to base sin(X) of cos(X) = π. We never work with numbers.

    • SDoman 4 years ago

      idk what level youre at, Im in my last year of high school here in the UK tho, sorry if I use something you havent done in school but this is what I could think of quickly. Take that log and change it to sin(x)^pi = cos(x), then rearrange equal to 0. Take the derivative of that function then use the Newton-Raphson Method with x0=0.5 to converge on the root, which gives x as 0.979538. Probably an easier way to do it but this works too

    • Venkat Babu 4 years ago

      Matter always split in approximately 2% finer graining. Other things are energy form.

    • SDoman 4 years ago

      Venkatesh Babu Ponnuchamy what are you on about mate

  • macaroni29 4 years ago

    Megan fox the math teacher

  • Tina Sheppard 4 years ago

    18:12 =7 ; rules to the seven must apply then to all prime numbers.

  • siroos siroos 4 years ago

    i was in love with my religion teacher. she was so sexy and hot oh god

  • Dwaipayan Datta Roy 4 years ago

    Why log base 10 and not log base 100 for the second example

    • SDoman 4 years ago

      Because we use a base 10 counting system

  • Dwaipayan Datta Roy 4 years ago

    Oh default is 10

  • Dwaipayan Datta Roy 4 years ago


  • Dwaipayan Datta Roy 4 years ago

    Say divide the argument number with the base number untill the reminder is 1 ( base number / base number )

  • David of Yorkshire 4 years ago

    Back in the 1970’s logs were a little book that you used to do complex arithmetic. This is a lot like a mix of algebra and quadratic equations.

  • Ammar Keylani 4 years ago

    The energy is good but your path between what is in your head and mine is completely tortuous and leads not to any value. Please imagine explaining to a kid and from there base your lecture accordingly! Good luck

  • Ariel 4 years ago

    No se si con una profe asi vas a prestar mas atención o te vas a quedar mirándola toda la clase XD XD. Porque no tuve una asi cuando estudiaba???


    My GOD so hot maths teacher….She is quite sexy….I am really flattered….

  • Kevin Kenny 4 years ago

    Thank you! You have such a calm and clear way about you.

  • Metric Tensor 4 years ago

    I didn’t know there were so many dumb people. Jeez. Like wtf is wrong with you.

  • Noureddine Rached 4 years ago

    do you guys start studying this at college?
    we learn Logarithms here first year of high school however the program has changed now and they dropped the level drastically and they start studying logarithms second year of high school because students were complaining it’s hard while true reason was people never attend the classes in first place, but i feel cheated tbh although i managed to do them, i never truly understood them this simple like you explained, a reflection of the bad teacher i had and always in conflict with, flavoured by my laziness.
    am relearning everything about Math, thinking about maybe getting new Bachelor degree, hope your channel has what am looking for

  • thepetyo 4 years ago

    Is this really the way now how people learn basic math? What happened to elementary schools?

  • Victor Victor 4 years ago

    This is Voodoo and WitchCraft is all that it is they try to Make it Look Like It’s the Norm and Healthy for Your Mind, Body and Soul It’s Not, Don’t you Remember the Apple Sitting on the Teacher’s Desk? Damnation .

  • Manish Kumar 4 years ago

    In love with you♥

  • Rituraj Dutta 4 years ago

    Mirror image….. hacking of handwriting…..,..

    • Jhon Agustinus Yahya 4 years ago

      Kind of trick to attract more subscriber bro

    • Rituraj Dutta 4 years ago

      I don’t think so…..she has good teaching skill and she is pretty too

  • blues blue 4 years ago

    I have no idea what she’s talking about, but still watched for some reason 🤔

    • techie vikie 4 years ago


    • applebug 3 years ago


  • † isaac † amaDeus יהוה† 4 years ago

    Hello 3.14159265359 how are you???

  • haris mujanovic 4 years ago

    marry me

  • ALDEMAR MUÑOZ TORRES 4 years ago

    con una profesora asi no pierdo una clase

  • Jhon Agustinus Yahya 4 years ago

    If you are my math teacher in the school, i will never absent in math class.

  • Poindexter Frink 4 years ago

    “Looking at this equation, you can just tell.” As a programmer, this cannot be enough. Why not show the next steps in solving the equation instead of asking the user to brute force it? At some points in the video I could feel my high school algebra screaming “x is solvable!”

  • Noome 4 years ago

    This looks easy but i remember from school we had equations that took like 5 A4 pages to solve and that was the point where i gave up

    • Percy Charumbidza 3 years ago

      kkkk ,omg ,

    • Vsk 3 years ago

      @Percy Charumbidza hey don’t cry

  • Jacek Jedlinski 4 years ago

    Nancy you are holding pen incorrectly with 3 fingers. This may be due to your right shoulder bent to much inside. This may be corrected with some exercises.

  • juan palacios 4 years ago


  • Bruce Goodwin 4 years ago

    Great tutorial!

  • black current 4 years ago

    Man I love ur brains where did u learn that method ,u solved my very old confusion on solving logaritm,u got a beautiful brain ,

  • Norman Nowak 4 years ago

    Hello woman, I found the video very nice, but then I thought that women can not be intelligent and you wrote there is not right. Please, please also the right one write white, vllt. you do it differently but that’s not math. Just as I learned it from a doctor in math, you write somewhere but not mathematic formulas.

  • Imperial Dynamics 4 years ago

    it’s really difficult to look at what she writes. I can’t take my eyes off her.

  • No Name 4 years ago

    im trying to figure out why this got recommended to me i search pies smh

  • Omprakesh Kumar 4 years ago

    Thank Mean

  • Omprakesh Kumar 4 years ago

    Apki voice achi hi

  • Debu Phartiyal 4 years ago

    nancy you are so cool

  • Curious SM 4 years ago

    ‘Log a to the base e’ is something I’ve not yet understood. Can you explain them in detail.

  • UrsTrulyKJ 4 years ago

    With your help, I studied and tested completely out of pre-calculus! Thank you much.

    • dinesh singh 4 years ago

      Hiii how r u ,iam from india

  • Ubeimar Ramirez 4 years ago

    yeah yea whatever, what did you say your name was? haha. it would be literally impossible to concentrate with a teacher that hot in front, thank god most math teachers are not that pretty, I still don’t know how i ended up here

  • Ed Cammarata 4 years ago

    Very nicely done enjoyed it,
    Super nice lady u look at her and u want to learn wish I had her for a teacher when I was in school and
    I’m 76yrs old

  • x1986x 4 years ago

    Does she write backwards?

    • Tiffany Le 4 years ago

      I believe they just mirrored (flipped) the video.

  • Daniel Gitahi 4 years ago

    When did math become so fine?

  • BigFoot Too 4 years ago

    She reminds me of my high school algebra 1 teacher, I almost failed. For some reason, I just couldn’t concentrate on math.

  • Devesh 4 years ago

    Who is here just by watching the thumbnail (mam).😋😋😍😁

  • Robert Bielik 4 years ago

    Pretty awesome backwards writing. Respect!

  • SHADY Gaming 4 years ago

    Thank you ma’am .

  • Mikal Benning 4 years ago


  • Adil 4 years ago

    Great Explanation!!!

  • kabelo nkanyane 4 years ago

    Helpful 🙌🏽

  • Ahmad yaser Sarwari 4 years ago

    If you were my teacher, I will become a genius now

  • Sudhanshu Yadav 4 years ago

    Wow rare case, a pretty girl teaching maths 😋😋😋😋

  • Ravinder Kumar Kumar 4 years ago

    Mine First foreign teacher
    Iove from India 🇮🇳🇮🇳🇮🇳🇮🇳

  • Anderson Goulart 4 years ago

    NancyPi is Very Hot!

  • Ltbo 67 4 years ago

    excellent video thanks!

  • Steve Hines 4 years ago

    The way she appears to “write backwards” could be as simple as her writing normally, forward for herself on the back side of glass, and initially appearing backwards to the camera, and her flipping the video horizontally.

    • Mathskills 3 years ago
    • Ron 3 years ago

      This has nothing to do with flipping a camera/ video sideways. Rotating a camera sideways will only film the event sideways. It won’t reverse numbers and letters.

      We know there is a clear media between the viewer (us) and her. That means she is facing the viewer as she writes. We can attack this from either the viewers’ perspective, or from her perspective. I’ll use the the viewers’ perspective.

      1) Let’s say she uses a “normal” video camera or a front-facing camera on a smart phone and she is right-handed. If so, her hand would move away from her, as she wirtes (it does), but the words are written reversed AND written right to left, from our perspective.

      1a) Now let’s say she’s left-handed. If so, her hand would move toward her body, as she writes (it doesn’t), and the words are still reversed AND written right to left, from our perspective.

      2) Let’s say she’s using a smart phone and the camera feature is reversed, meaning as you look at the screen, you see yourself, instead of what is in front of you. This feature produces a mirror image; your right, is the mirror left. Your left, is the mirror right. Let’s say she’s left-handed. If so, from our perspective, it would appear that she’s right-handed, her hand would move toward her body (it doesn’t), the words would appear to be written backward AND written right to left.

      2a) Now let’s say she’s right-handed. If so, from our perspective, it would appear that she’s left-handed, her hand would move away from her body (it does), the words would appear to be written backward AND right to left.

      None of these scenarios work. But they all have one thing in common, the writing will always appear to be written reversed and from right to left. So, we can deduce that she is definitely writing backwards. Left, or right-handed, will depend on the camera set up. “Someone” said she’s writing backwards, she is.

    • PikPobedy 3 years ago

      @Ron Nancy Pi’s If one visits the bridge of museum military ships, for example the USS Intrepid, anchored at Manhattan, NYC. There is the clear polycarbonate scree where a sailor writes backwards behind it for the officers to see on the “front” side.

    • georgeyf • 3 years ago

      @Ron underated

    • Aadit Munjal 3 years ago

      big brain

  • Kevin Johnson 4 years ago

    She’s explaining complex mathematical concepts while writing backwards, and I can barely do long division and write forwards.

  • Gaurav upadhayay 4 years ago

    Wow… Nancy

  • Reinhardt Maritz 4 years ago

    you make math bearable hahahaha, thank you for taking the time to teach us dummies!

  • Nazlan Ramshidi 4 years ago

    I think now i got the idea on how she write that thing😁

  • danj hamzah 4 years ago


  • Wink 4 years ago

    Is she really writing backwards or is this special effects??!!! Either way, great job!

  • ETERNAL POWER 4 years ago

    Hello you’re so beautiful 😍😍😍😍😍😍😍😍😍

  • The Predator 4 years ago


  • sam jaz 4 years ago

    thank youuu your videos are well paced and easy to understand keep up the good work!

  • Ryan Vo 4 years ago

    Thanks!!! :::::)))))

  • alegay ovi 4 years ago

    Im just dumb even do she explains it soooo well

    • Divyanshu Singh 4 years ago


  • Yasmin Fatima 4 years ago

    At 7:30 why cant 1/8 be written as 0.125?

    • George Reynolds 4 years ago

      It can but it won’t help you to solve it. Writing 2^3 makes it easier!

  • Albert Batfinder 4 years ago

    Like Ben Eater, what we have in NancyPi is a gifted teacher. OK we don’t know how either would go in a crowded classroom, but when it comes to the method of teaching, Nancy and Ben (and a few others) should really be giving lessons to teachers, not us.
    Calm, methodical, no skipped steps ever, no assumptions, no “Flashes of Genius”, no talking down, personable. Eddie Woo is good too, but prone to wizardry and showmanship. You could get left behind in his class because he teaches to the bright ones.

  • Robert Bruce 4 years ago

    This is really helping me to revisit the fun I had in math. I did not use the math but I had fun. Its too late for me now but I think I might take a math course.

  • Charles Asaba 4 years ago

    beauty with brain

  • Justin Stafford 4 years ago

    Thanks Nancy, the snail works

  • Impuls X 4 years ago

    What a hot girl

  • علي شطا 4 years ago

    Thanks Nancy.

  • amir khan 4 years ago

    Vvery bad because we saw oposit side please change your write

  • Dorian Taylor 4 years ago

    You have helped me bring my grade up 15 points so far. Thank you

  • Nick S 4 years ago

    Can anyone tell me what editing software lets you make that gradual speeding up and slowing down effect? And that tape winding noise that goes with it?

  • senorstrangelov 4 years ago

    Mathematic! You are awesome. I hated logs in grade school, college and grad school

  • ALHAJI GIBRIL JALLOH 3 years ago

    Hi my mentor

  • Apurba Thakuria 3 years ago

    Thank you

  • OrokuSaki1986 3 years ago

    I have to re-learn all sorts of complex math for a software engineer coding test. I’m mostly a front-end design person. RIIIIIPPPPP

  • Urine Denial 3 years ago

    Percentage of straight girls learning from this video: 83
    Percentage of all men and lesbian woman learning from this video: 2
    (To clarify, even gay men get distracted because they become jealous of her complexion…)

  • ローズアン 3 years ago

    Everyone commenting about how she writes, her beauty, or just math, but here I am thinking how clean and clear that glass she’s writing on

  • Tarun Kumar 3 years ago

    i may have scored full marks in maths if she was my maths teacher 😭😭😭

  • Miguel Garcia 3 years ago


  • John Ehmer 3 years ago

    so what is the function or use of logs in math? I do not see the purpose

  • Floppy Arms Here 3 years ago

    You’re voice is very clear and not too high.

    You’re a perfect teacher!

    • Kiyaan Visram 3 years ago

      But she speaks a little too fast at times.

  • Sam Pitts 3 years ago

    Thanks 😊 great video 👍.

  • Carlos Lopez 3 years ago

    Each word in its place,clarity, well passed and beauty. Thanks.

  • Alvin Qua-Enoo 3 years ago

    Lovely Video

  • Solace Creat 3 years ago

    I fucking adore her voice.

  • ALHAJI GIBRIL JALLOH 3 years ago

    I really appreciate your videos. How can I contact privately to assist me on some topics in Mathematics. This is my contact or Wharsapp line : +23230328443

  • roberto R 3 years ago

    Log base e? Don’t be so irrational!

  • klfmc rjn 3 years ago

    Are you flirting at 14:21?

  • danielsacunt 3 years ago

    Nancy is literally the math queen. thank you so much girl <3

  • BOB pak 3 years ago

    Your Teaching method is excellent.

    • ClearOutSamskaras 3 years ago

      It’s all algebraic with no geometry. It’s ok but it isn’t “perfect”.

    • BOB pak 3 years ago

      @ClearOutSamskaras I did comment on teaching method. I did not understand what are you saying.

    • BOB pak 3 years ago

      @ClearOutSamskaras Teaching method do not relate algebra and geometry

  • Sourabh kumar 3 years ago

    You are patola

  • Stephen Balogh 3 years ago

    She’s not only gorgeous, but very cute as she sad it so humbly in the end “….but you can like my video and please subscribe!”
    Keep it up dear…!

  • David Jorge 3 years ago

    Yo im done with school I just clicked cause she’s hawt

  • Proton ji 3 years ago

    Mam first you are very pretty and you are the best teacher foreever

  • kibria mahmud 3 years ago

    thanks a lot

  • Michele G 3 years ago

    Thank you very much! I had to get a BA instead the BS in my field because I couldn’t get past a certain portion in stats class. I wish I had you for my professor. But also I learn better when it comes to math in small groups or one on one. I never thought I’d understand logs and in a few minutes I not only learned them but found it interesting.

    • Michele G 3 years ago

      Thank you Nancy!

  • Tor Bruheim 3 years ago

    I wonder if you are writing in reverse? Very impressive effect anyway.

  • Bernard John Escobal 3 years ago

    Hi ms.nancy how about (-i^-i) what is the equivalent in exponential form? Thanks.

  • Hemant Kumar 3 years ago

    NancyPi mam, If I’m not wrong you were writing on rectangle mirror and recording it in mirror image.
    Please do not forgot to reply me.
    Thank you.

    • sak mario 3 years ago

      I think she is right handed… writes on glass in front of her and just horizontally flipped the image in the video.

  • Mickyle 3 years ago

    I am more motivated to learn Math because of youu!!!

  • Neha Ladwa 3 years ago

    You’ve got another subscribers! Your so talented sis. Thank you soo much for making this video, God bless!

  • fundifferent1 3 years ago

    how TF is she writing backwards like that though?

  • Adam Zeggai 3 years ago

    waste of time

  • Imran Hossain 3 years ago

    Who is here after watching the thumb nail?

  • Dracula Official Yt 3 years ago

    In nepal, all math teachers are male.. They look like fatter, strict….
    How pretty she is???
    I would surely score A+ in math examinations if she were my teacher.. Love u mam from nepal

  • Clarence Dixon 3 years ago

    Well understanded you explain
    Things very well ,I’m try too
    Revive my memory. When
    I had a tutor. I comprehend what
    Your say about certain things.
    Thanks 🤓🤩👍😃😃

  • ThE OuTLasT 3 years ago

    i want to meet you pls.

  • Aldrin Alfonz 3 years ago

    So beautiful and at the same time intelligent , i really hope you we’re my prof. in math 😀👍👏

  • Croc hunter 3 years ago

    Your beauty is mathematically mysterious.

  • Tawhid Khan 3 years ago

    If I had a teacher like her I would never be able to concentrate in class. she is beautiful.

  • haziq mostafa 3 years ago

    (ln(x/100))^2 :——–> x=?

  • MATH life 3 years ago

    I love you too.

  • Blake Boudreaux 3 years ago

    Nancy Pi video makes me feel like a math wizard whos gonna get A in cAL1 and go on to beat all 4 bosses including the 4th and final boss at differental eq…haha. .BTW i been outta high school 20 yrs..hard to believe #vetOIF04-05

  • Sonal Agrawal 3 years ago

    i wondered how she is writing this way… of course it is flipped video. If you see her Instagram…her face looks very different because here we see a mirror image of her

  • Carole Tuazon 3 years ago

    Nancy, when you drew a snail, that was the best way that I understood how to rewrite it. Cute drawing!

  • Sonal Agrawal 3 years ago

    I dont know why all of a sudden I am watching Logarithms video in the middle of the night….while I have office tomorrow and I am an IT consultant and probably never going to study math again in my life 😂

    • Shubham Kumar Maurya 3 years ago

      Even weirder thing is you’r a girl.:D

    • Anshu 3 years ago

      Teach Ur kids.

    • Dale Diercks 3 years ago


    • Maths Hub 3 years ago

      Subscribe to my YouTube channel

  • Event Videos 3 years ago

    I didn’t like mathematics but I love it now coz you r so attractive and gorgeous.

  • Avenger Raja 3 years ago

    8:21 thats called recipocal form

  • Jose Mendoza 3 years ago

    Welp. I just have no words for #2. I’ve been doing it wrong all this time making my life hard this past week lol

  • prince kumar 3 years ago

    I don’t need this type of tutorial but I watch every your video …. because of your beauty..

  • Fearless Gaming 3 years ago

    Love u ma’am thanks for teaching

  • philip rea 3 years ago

    i know this is probably outside the videos context, and im new here (but loving it), but the snail idea is pretty fun and cool. its also in a way used to figure out what c declarations mean (c as in the C programming language,.

    not sure how deep nancy goes, or if shes even interested in programming. just saying…

    love your stuff keep it up!

  • parth Bhardwaj 3 years ago

    Mam u teach very nice 😄.
    Teach us some complex problems too..

  • Cristian Echeverry 3 years ago

    First time that I can watch, you look beautiful and very clear in the topic, Hi from Colombia.

  • علي محمد صبري A 21 3 years ago

    Thanks darling .

  • Matt Andrew Sambile 3 years ago

    can’t focus shtt

  • your dad 3 years ago

    According to NASA, boys watching this video aren’t able to concentrate.
    Research still on. 🙂

  • Zaid Alfawaer 3 years ago

    who in the fuck disliked her video

  • Kasthuri sundar 3 years ago

    Sister you look pretty always

  • Matt ONeill 3 years ago

    Please teach us how to graph a logarithmic function. So far I have watched 10 videos and it makes no sense to me and it sucks that nobody can teach this.

  • Mohibullah Amini 3 years ago

    If u were my math teacher I would have been a math genius😃😃

  • Jeremiah Carr 3 years ago

    Logarithim Natural