# Solving Logarithmic Equations… How? (NancyPi)

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Published on October 7, 2018 by

MIT grad shows how to solve log equations, using LOG PROPERTIES to simplify and solve. To skip ahead: 1) For solving BASIC LOG EQUATIONS, skip to 0:22. 2) For ONE LOG ON EACH SIDE (EQUALITY property), skip to 2:36. 3) For TWO LOGS ADDED together and equaling a number (PRODUCT property), skip to 5:25. 4) For MANY LOGS, SUBTRACTED and ADDED, and using the QUOTIENT property, POWER property, and the other properties of logarithms (log rules), skip to 9:53. This video focuses on solving logarithms in equations and explains how to check the solution for an extraneous solution. Nancy formerly of MathBFF explains the steps.

For my video on logarithm basics like how to EVALUATE LOGS, including natural logs (ln x), jump to: https://youtu.be/Zw5t6BTQYRU

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

SOLVING LOGARITHMIC EQUATIONS for x: Every logarithm is connected to an exponential form. The best way to figure out a log function is to REARRANGE THE LOG INTO EXPONENTIAL FORM and then solve for x. I show a quick recap of how to rewrite a log into exponential form, but for a longer explanation of rearranging into exponential form to evaluate a log, jump to my video "Logarithms... How?" (https://youtu.be/Zw5t6BTQYRU) for help with converting log to exponential form. In this video, I show you more complicated log equations with more than one log, where you'll need the LOG PROPERTIES (logarithm rules) to simplify and be able to condense down to one logarithm on a side so that you can solve.

Solving logarithmic equations with LOGS ON BOTH SIDES: If you have one log on each side of the equation, with the same base, you can use the EQUALITY PROPERTY log formula.

If you have more than one log on a side of the equation (with the same base), you can use the PRODUCT PROPERTY (if the logs are added) or the QUOTIENT PROPERTY (if the logs are subtracted) to combine the logs into one log. If you have a number multiplied in front of a log, as a coefficient, you can use the POWER PROPERTY logarithm formula to bring the coefficient up as a power inside the log argument. Once you simplify the log equation using the product, quotient, and/or power properties, you can either 1) solve by using the equality property if you just have one log on each side (with same base), or 2) solve by rewriting into exponential form if you have a log on one side and a number on the other side. IMPORTANT - CHECK SOLUTIONS: When solving logarithmic functions, you have to CHECK your solutions for log equations. Any numbers you get as solutions you have to plug back into the original equation to check. If a solution does not work or gives an undefined value (for example: log of a negative number), then it is an "extraneous solution" and must be thrown out!

For more logarithm examples and help with solving logarithmic and exponential equations, logarithmic form problems, exponential function and exponential equation math, solving logarithmic expressions, solving log equations without a calculator, log x equations, exponential and logarithmic functions, exponent math, log solver and log equation solver math, log equations with the same base, and log equations with different bases, as well as more of my math videos for algebra, algebra 2, precalculus, and college algebra, check out: http://nancypi.com

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### 373 Comments

• Hey Nanci

• Yay 1080p

• love the channel best of luck

• i wish i could solve you

• amty haaaa
GAAAAAYYYYYYYY!

• BlocknBoom! ๐๐๐๐๐

• lol same shes beautiful

• thanks Nancy love this channel always comes at right time

• just clicked to say hi ๐

• Thank you Nancy. Very helpful. l think I finally get it now. Keep up the good work.

• Thank you Nancy, Very Pi!

• Oh yeah yeah

• You’re funny, Nancy.

• Can you teach us laplace transform please

• Hey I’m in calc 3 and slightly dying. Could you do any videos on calc 3.

• Thanks Nancy my math is like my art ,divergent from reality ,

• queen of math

• Ur video are interesting it is boosting up me to do math….thank you soooo much nancy ma’am…๐ค๐ค๐ค๐ค

• ragava r u are creepy

• @shawn Jacob Is that a question or what?

• Nope if you look closely with you useless brain his user name it is ragava r so I stated u are creepy.

• @shawn Jacob Oh! lol My bad.

• Big respect; big love; big thanks

• very clear and educational – maths does not get any better than this

• Would log base 2 of -2 equal 1i?

• does 2^i = -2?

Solution:
It doesn’t since i is imaginary and if you plug it into a calculator, any log won’t have a negative base.

• From watching lots of blackpenredpen video’s, I would think it’s (ln(2)+ iฯ)/ln(2). Note that e^(iฯ)=-1 (Euler). So we can rewrite log2(-2) as log2(2e^(iฯ)). Then switch to natural logaritm: ln(2e^(iฯ))/ln(2) Split up the top logarithm: (ln(2)+ln(e^(iฯ))/ln(2) And finally the logarithm en e cancel out so we get: (ln(2) + iฯ)/ln(2)

• Ty on same topic next video maybe solving logs with ln and e if you like.

• hey where nancy merch pls nancy

• At some point I just started watching your videos even though I don’t need it

• Lmao same

• It is extra fun if you get a few White Boards and Dry Erase Markers so that you can work along. What I did was I got 11by14 inch Glass Picture Frames and inserted White Paper under the glass, and I use Fine Tip Expo Dry Erase Markers. I whip out the work before she does it, so that I basically know what she is going to say, but then if she has some special trick or some proviso, then it catches my attention because of the “why didn’t I think of that” factor

• you make every section of precalc-calculus a lot easier! I was wondering if you could explain l’hopital’s rule in an easier form?

• just stumbled upon your channel and I like how you explain. Therefore I would kindly ast you to please explain the Gaus elimination. I am really having a hard time with it because I keep going back and forth and I can’t create the stupid triangle :DD thx

• Oh, my god.

• love yaaaaaaaaaaaaaaaaaaaaaaaaaaaa

• Thank you very much, ma’am
Regards,
ST

• I never closed Khan Academy so fast ๐

• Right? Sal trying to explain that multiplying logs was a nightmare with no good explanation.
Also, she FF through the writing where Sal.. repeats himself.. repeats.. repeats… Himself… Himself… Himmm.. seeelf… Constantly because he doesn’t dare leave a moment not filled by his own voice.

• HAHHAHAHAHAHAHAHAHHAHAHHA!

• Lol

• She the new Sam Khan!! Just even better

• Sal Khan is not this HOT

• Could you talk about how to solve improper integration please? Thank you Nancy. Love you

• Excellent!

• Can you explain using derivate tests to find extremas?

• Crush

• Can you do a video on the derivative of inverse trig functions please?!!!!!

• If the base of any logarithmic term is 1/x or x^2 or | x+2 | … For example if the que says log (x^2- 5/2x +1) to the base 3x/(x^2+1) is greater than or equal to zero.. Find the possible values of x??? How to solve these

• You gotta know you have LITERALLY SAVED MY LIFE through these videos. bless your heckin soul !!!

• figuratively

• Eflo maybe they meant literally

• Thank you so much

• Keep going itโs nice to learn more from a gorgeous angel

• Hey Nancy can you please please please make a binomial theorem video we’d really appreciate it

• what do we do with the variable “wtf” again?

• lol, solve for “wtf”?

• Senpai ๐

• Wow you actually make this simple to understand. I have gone over and struggled through logarithms before but I never retain it. This is a great reference video, thank you.

• Thanks a bunch, I have a final exam next week, and my prof kinda breezed through the exp/log functions chapters. Perfect timing!

• What if the logs don’t have the same base

• NancyPi. Your explanation is so efficient and elegant. Iโve got to follow you! On a side note, it was easier for me to follow your reasoning having reviewed the properties of exponents. But I wonder if it is going to make as much sense for first timers.

• Just one question……..at 9:38 the working done on the right side is somehow appearing something of a contradiction to what you just said. Won’t that -2 & -4 multiply to give +8 which could make the values true for the given problem???

• It would be 8 after simplification, but you always need to verify that it works in the provided original form. For example (x(x-1))/(x-1)=x can be simplified to x=x which holds true for all real values of x. But we still can’t let x be 1 because that would make division by 0 if put in the first form of the equation.

• One simple explanation: Just remember that log(-x), where is any real number, is non-existent. I think it gets mentioned at 9:12 thanks

• You can’t raise a number by a power and get a negative result

• Maths Queen of Sciences, NancyPi a new Queen of Maths. What a discovery!

• Thank you NancyPi for helping me understand logs. I was very confused from a college pre-calculus lecture. Now I am confident in this subject and have no doubt I will do well in quiz day.

• Thank you Nancy,you make maths fun for me <3

• Relearning math after having been out of school for a while. Subscribed. Thanks

• Daaaamn these thing is sooo easy ..how come im only seeing your videos now…u saved my life ..i hated logs cause i didnt understand them..thank u sooo much

• Senzekile Sibiya sammeee

• Same ๐

• logs are ez dafuq do u mean

• @SmileyBoySa Gaming Agreed. For me trig is harder because of all the fucking memorising I have to do๐ญ

• Fantastic ๐๐ป

• basic

• call me

• Thank You NANCY!!!!!!

• Jesus christ, do u guys realize that shes writing in mirror handwriting, shes so good wtf

• She flips the video my g

• And she’s doing it left handed!

• She mirrors the video. ๐คฆ

• The rules are collected so clearly

• where did the +7 on both sides come from in question 1

• funny how i’m in math class and couldn’t seem to grasp this until seeing your video. just in time before my mid semester test ๐

• Where can I find more practice problems for logs?

• @nancypi do you have to write backwards to make our view look correct? mind freak…

• Explained beautifully, in a simple way.

• Wooowww thank you sooo much!! You taught it so clearly I was so confused before !!

• I love that you’re beautiful and intelligent, keep up the good work & thank you for your help
-distressed students united

• she never warned me of how beautiful she is :p

• Such a wonderful video, Twas helpful. Thank you!

• fantastic vid mate

• what happened to your last account you had more than 400k subscribers a.k.a mathbff

• Thank you a lot this is truly amazing Nancy ….keep up the good job

• thank you so much

• Oh my god, she was writing normally! She used a mirror mode to make the video comprehensible.

• Yesmirror thats physics at work my left your righ,simmetric and real…

• @Eduardo Galdino symmetrical* lol

• thanks, I was wondering that the hole vid

• @Vibe Goddess of Math for the common man

• It sure is handy humans are (mostly) symmetrical!

• You helped me pass my class last quarter. You are a great teacher. I learn a lot from you. Thank you!!

• Gorgeous and smart ๐

• Thank you Nancy! Iโm crying right now, Iโm so happy. Iโm scared to watch any other Videos because they may confuse me!

• thank u very much [NancyPi]

• @0:29 log-ithm ๐๐

• Thank you so much! If you’re ever in Seattle, I owe ya a coffee ๐

• Is possible two difference log based within the function? if so, how to unify them into one

• I like you Nancy.i love you

• Saved my life!!

• Youโre literally a godsend Nancy!!! Thank you so much ๐ค๐ฝ๐ time to pass this math 41 final

• Thank you NANCY!!!!!!

• The log of a negative number is imaginary.

• Whats the point of knowing how to do this when computers can do this is nanoseconds?

• She is so beautiful, love a smart girl very hot. Body looks good too. Lol

• Great ๐๐ป I can’t say I like math but it’s a fundamental language and u teach it really good! +1subbed!

• 3:18 is me in my school choir everyday

• ๐๐๐

• My students and I love your clear, neatly written, very well planned lessons.

• why don’t u teach the class lmao tf i pay taxes for

• @aman dad ๐

• Do you play PC games, too, by any chance? ‘Cause if you do, then I’ll just embarrass myself miserably on the internets and assert that you’re unequivocally my soulmate and we should totally get married and have little nerdlings running around, constantly talking about how awesome maths and sciency things are. I’m a mature university student err … revising for an exam. It’s all true!

No, wait! What I mean is … do NOT teach guys! It doesn’t work! Well, maybe it does … a little, but it mostly doesn’t. They’ll never 100% focus on algebra.

Anyway, back to Khan Academy now before I say anything, at all, stupid.

Not.

• you wet don

• @Zeeshan Rafiq What’s that in English?

• The best teacher. Thanx

• Nancy pi thanks
Can you help me out with differential equations

• I wish you were my teacher your are so god dam beautiful I will never fail my my math class because i wouldn’t be losing focus

• Very nice! I betcha video cam is recording in mirror mode – so you Nancy are writing with right hand ๐. Anyhow – great!

• Thanks a lot Teacher!!!!

• snail method

• she pretty hot too

• So many creeps in the comments

• Meh. Either way, if you’re desirable, you get creeps; if you’re undesirable, you get nothing. I like being creeped on a lot more than being considered irrelevant, personally. And I get it from gay dudes all the time, too, since I’m shredded. I’m of a mind you tend to dislike what you don’t get and want what you don’t have. If you get creeped on all the time, you want to be ignored; if you’re ignored all the time, you want to get any attention at all. *shrug*

• @Solace Creat I completely agree with you, frankly.

• where? lol

• Who are you weirdos lmao

• not me! I am a novice mathematician I love mathematics

• I love you

• ๐

• You looking madd goood lol jk , but tbh I learned a lot ๐

• Thank you so very much Nancy! You brought back my love for Math.

• your videos are good!

• Kelis

• Who is here to know how she is writing?

• me!!!

• @SydneyKate so u are curious, right??

• Vikrant Sawant haha yes!

• @SydneyKate from?

• Instead of writing reverse, can you speak reverse๐๐

• She ain’t writing reverse

• WOW such a funny comment !!!!!!!

• Nice

• Thanks Nancy you will solve my problem

• i thank you .

• thank U (Nancy)

• x * logx = 400 Do you know how to solve for x?

• I have the same question ! …. so did you figure out how to solve it ???!

• Venizelos Evangelos This is what I got. x (logx) = 400
Logx^x (Using poser property) = 400
x^400 = x.
Idk if thatโs right but I hope it is, Iโm really trying to learn logarithms because Algebra II is hard ;(

• you’re actually such a good teacher

• Would have been much more easier if you could take everything step by step, instead of assuming that we all know what you are doing.

• looov u….

• Congrats ,, amazing vรญdeo !!!
Do you have WhatsApp ?

• Cant refuse the way you ask for a like!

• You pause on certain things just long enough that I think you are going to stumble over words, but then you pull it off flawlessly. It’s like i’m trying to finish your sentence for you in my mind, but then it all gets smoothed over into a great explanation. Love the videos! Thank you very much!

• I approve of a hot nerd.

• Congratulations for ur 1000k subscriber

• Please Nancy stop playing with my heart….. I love you now and without you I am nothing… Zero…Null….Void…..Please allow me to worship you as my Goddess ?

• You’re gross.

• I love your method to do

• I can’t sleep. So I’ll watch some math videos.

• Does loga3x-logax=3?

• Oo wow

• Now I feel like learning algebra

• Nice……..ilove explaination

• Oof do you think you can make a video graphing logarithms?

• How she solved that equation? At 3:24

• EDM Lover
Equalize the exponents and solve for x

• Thanks

• EDM Lover
Anytime.

• Do you happen to know anything about machine learning?

• hey baby

• Ew.

• Ew.

• Arihant Nayyar your name sounds like my fart

• @Joshua Borden You should go to a doctor.

• ur the problem solver to my everything

• Are you writing backwards or are you flipping the video?

• Good explanation ๐. Appreciate your efforts

• ๐

• You are more helpful than all the other videos that I watched. Thank you so much!

• Thank you Nancy you really helped me with your video and i managed to pass my exam . I wish you could make Applied Math videos

• You’re a LIFE SAVER! Thank you!

• How do you do a log function with different bases, you have another video?

• I think logarithms videos should taken by you Nancy madam.I think you will respond on this faster as possible.Your teaching is good or we can say the best.

• Oh my god, she was writing normally! She used a mirror mode to make the video comprehensible.
5 months ago
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SHOW MORE REPLIES

• โค๏ธโค๏ธโค๏ธ thank you very much!!!!

• Fuck math.

• 9:05 you have written that its -2 will be rejected but if you try solving
Log2(-2) + log2(-4) you will get 3 … so i suppose both the answers should be considered. Btw you teach great maโam.

• I do not know why I’m here but I like it

• Now I won’t fail my exam my professor goes over it so slowly it’s hard to understand him Thank you

• Beautiful lady makes fabulous videos!

• Missed one day of school and now Iโm so lost.

• Nely Silva feel yah

• What if the logs have different bases? How would you solve that?

• You just use the equality: log_b(a) = log(a)/log(b) for each log and then all the logs will have a common base. ๐ (I know you posted this a month ago.. Hope you don’t mind :D)

• @D4vEOFF Hi D4. Yeah, change of Base. but then the problem is what to do from there. fore instance lets say that we start out with LOG baseA (B) = LOG baseC (D) using Change of Base to get everything to the default base of Whatever we get LOG B / LOG A = LOG D / LOG C now, that is where people get hung up. In just that form of Rationals composed of LOG/LOG their are no properties of LOGS that we can exploit. then the best we can do is try to simplify out A B C D in order to get cancellations. But yes, searching “solving logs with different bases” brings up a few videos.

• i finished my studies and graduated from university this year and for some reason that we all know i still come to watch your videos ๐

• this was good work

• good work…..keep on

• Nancy 3.14

• Studying for my final and this helped a ton. Thank you so much c:

• Log(-2) + log(-4) = 3, for this both sides are also equal but you said that for x = -2 the equation doesn’t satisfy ?

• You’ll need complex numbers to prove/solve “negative log”.

• Thank you for the help!

• Math just becomes nature ๐

• you saved my life thank you so so much

• fanh r u writing backwards๐ค๐ค…but love u thou

• Very nice

• I have an exam tomorrow and my only studying were these videos,lets see how it goes๐๐

• Amazing ๐ค.love from INDIA

• I came here to find out how many logs it takes to make a raft. And stayed for teacher.

• Like? I love it! +1 sub.

• Good job!

• I love this beautiful teacher.

• a word thank u is never enough, ur videos are very helpful. so thank u to the exponent of infinity ๐

• Thanks for the video. Logarithms are interesting, although confused sometimes

• Youโre amzinh

• Love Love love the videos

• With each new video… I’m falling in love with you Nancy. I wish, back then during my school days I found someone like you. Excellent! ๐ ๐

• Unbelievable. ๐

• I don’t understand until you…. It pass exam 19/20 thank you so much.

• awesome video. great teacher thanks

• So helpful and clear. Thank you

• Wow thankyuhhh!!!!!!

• Log base2 (-2)(-4) = Log base2 (8)=3

• nyc if only you were my tutor

• Again Thank You!! It’s Sunday morning and (I Do Like Math) my next semester (pre-calculus class is getting closer. With your help I will be ready. I just want to have an understanding of what my professor will be talking about.

• I have to say you are looking cute and your math explanation are extremely awesome

• Excellent explanation of logarithms.

• I could listen to Nancy all day long. Alas, I haven’t gotten to quadratics yet, so I got lost. It was fun to see a bit into the future, though. I kinda like logs. Now back to finding the average rate of change of a function from a table over an interval. Grrrrrrr.

• That part where she said “can’t unsee that” XD

• Very much helpful.. Thanks

• simply amazing…..why I haven’t came across this earlier ….great stuff…keep it ๐๐โโ

• Thank you!!!
Really thank you!!

• How do u write in MIRROR dude

• Mirris in back…

• *mirror

• Hey nancy, when the ekarts transdimentioned here ,they told me obviously we are not alone,,is that true?kkkk

• Logarithm are nothing but multiplication and division of numbers = how many times I have to do X to get to Y or How many Y does it take in X

• Thanks Nancy, this helped so much. Your an Awesome teacher.

• you should do graphing log function

• My best math faculty on YouTube.

• what if theres 2 logs (2logs=1log)

• Alberto Cayente Junior just simplify the 2 logs๐๐

• could pause this video at any point and she still looks gorgeous, huh-dayum!!!

• LOL. Nancy story. Thanks.

• I was stuck on a homework math problem for a while now and your video really helped me understand the rest of my homework!! Thank you so much and bless kind souls such as yourself for making math videos to help out others <3

• How does she write inverted?

• Thank you for making the bitter, sweet!!

• I don’t even go to school, but I can’t stop watching these videos. I think I’m falling in love with math. ( Or NancyPi). Lol

• 2:22 “now i’m going to give you a whole meal”
– sorry, I’m on a diet.

• bruhhhhhhhhhhhhh i never miss free meal …….no matter whattttttt

• @Mr. Singh same bro same

• Thanks

• Thank you , dear Nancy girl .. Excellent ! .. Very helpful indeed … ๐

• Thanks!

• You don’t have to wait for the tutor to write on the board. It is automatically fast forwarded for you . It will certainly saves you time. She is a very effective teacher. Thumbs up for her.

• 11:15 when she speed ups the writing part….see in 0.25 speed…..it is still too fast …it means u waste a lot of time on that for us……aaaaaaammmmmmmmmmm very thankfullllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllll tuuuuuuuuuuu juuuuuuuuuuuu

• If it wasn’t for your video help, I would most definitely have failed my math class! You’re the best tutor. Thank you for your videos! I only wish I had known they existed a little sooner!

• Saves so much time vs Khan. Sal trying to explain multiplying logs was a nightmare.
Also, she FF through through writing where Sal.. repeats himself.. repeats.. repeats… Himself… Himself… Himmm.. seeelf… Constantly because he doesn’t dare leave a moment not filled by his own voice.

• she’s the best maths teacher ever โค๐

• ur very helpful but u talk too much, the video couldve been much shorter but other than that good work

• Thank you! You make everything seem so much more simple!!

• Miss
Nancy could you please explain to me what a branch cut of the natural log is?

Thatโs what I thought you donโt know… donโt teach log if you donโt really know it

This chick aced an easy ass alg II class now she think she can teach everyone math ๐

• Did ya hear she’s an MIT grad, she prob. had to do more than ace an Algebra II class, people make mistakes, random error.
Don’t judge people like that, if you want to encourage her to do something do so politely. Good day.

• She can be an MIT grad, she didnโt make a mistake btw she actually doesnโt even know what a log is. Going to mit doesnโt mean anything if she only got a basic math education she could have gotten at a basic state university: if she wasnโt hot no one would watch this.

• Wrong!
I like maths, I like your videos and I like you. ๐

• After my exam, I’ll make sure I watch all ur videos. You are just a life saver!

• Damn ur pretty

• Stop scaring me >3<

• Thank you Nancy pi it helped love you from india
I didn’t knew maths tutor were good looking too

• This video is great! It is so easy to understand and I really needed to know this for my math final exam :3

• THANK YOU FOR THIS

• ใใฃใใใฃใกๅดใใใใใชใซ็ถบ้บใชๅญใๆญฃ็ขบใซ้ใๆธใใใฎใใๅใ๏ผ

• Mire ha mi yo tengo halgo ke exponer sobre Hoyente ha distansia local interviene X cuantas honbre y cuantas mujer un maximo de tres los otros son primo EL mujer x el corbata no igual de cuerpo no es igual a un honbre las matematicas no entendibles sin ofisina de ufolojia pero si guardia sin ofisina misterio

• I need help to solve this. Log3 (X) =X-2. What the value of X

• Que linda la explicaciรณn

• So smart n beautiful โบ๏ธ from Indonesia

• Loving your videos.

• She’s Smart As A Whip…..

• Brilliant simple way of serene teaching

• Why is this rubbish in my recommendations also why does this video exist just look up log laws so you can pass your exam you’ll never use them again ever

• This is what a good education feels like I guess…

• U helped me clutch another math test out. Thank you again. ๐

• ive never paid this much attention to math

• You should do a video on how to expand and condense logarithms

• So recently my teacher showing us a video of hers in class and ngl, she became one of my favorite people. She is soooo smart and pretty.

• nigga

• Seem like I need to watch the other vid lol

• which app you are using to make such wonderful lectures?

• RIP KOBE

• You lowkey bad

• good explanation and also you’ve work pretty good on video editing fast forwarding the simplification steps that’s really save tiny amount of time, it’s really is helpful ๐

• How do write in reverse

• log 12x-7 how did u get the -3 lol just for confirmation ty

• God bless u mam

• you explain things so clearly thaNK YOU!!

• I guess every student has a crush on teacher at some point of time ๐๐

• I have a crush on my teacher. The problem is I’m home schooled! ONLY KIDDING!

• But what if the base was negative also. Will there be an answer to a negative log?

• You’re the equivalent of e^iฯ + 1 = 0 ๐ I’m working on a mathematical model of certain DNA structures, and how they interact with other molecules, but sometimes it’s refreshing to go back to where everything seems nice, elegant and beautiful. I’m having some problems to reformulate certain Euler angles into the right set of differential equations… Could you write them out for me on your magic mirror? ๐

• Nancy you absolute genius

• That was no use for me๐ I got wrong vedio

• Where are you Nancy ?!๐ฉ

• this is the first time logs have actually made sense to me, also its nice to see a girl teaching these videos for once ๐

• Thank you so much. This video was so helpful.

• how areyou going inside google

• I would never have guessed that a tiny snail could do so much for the sake of math to my thick skull!

• She out here saving grades in the middle of this corona pandemic

• I learned nothing in online math

• On god she is

• @man0z its definitely engineered, but are you proposing thousands are not dying? give me proof

• @forever SHAMPOO thousands die everyday dude, in case you forgot that death is a natural part of life. Here in the UK the doctor is not required to test for the virus, if a patient has influenza and pneumonia and is suspected of having covid 19 (remember a positive test is not required) then they are added to the covid 19 stats. In America doctors are incentivised to diagnose covid 19, \$13,000 and \$39,000 for putting someone on a vent, which has a high risk of killing them. If you need proof of this look on the ONS website, there’s plenty of videos on youtube of people pointing out the incentives. Watch this too
In America the education and careers of doctors are tightly controlled by a private institute the AMA which was set up by Rockefeller. Since the corrupt mass media fabricates propaganda on behalf of the corrupt government then you do the math.
If 9/11 and Iraqi WMDs didn’t wake you up to the abhorrent amount of corruption in media and government and this doesn’t either then I am afraid you are a lost cause.
Here watch this

• @man0z are you joking or are you acc that stupid

• Only if I had you as my math teacher years ago I would have loved instead of hated math!

• Thank you so freaking much you just saved my junior year

• Thanks helpful

• I can watch this all day

• You are as beautiful as math nancy

• Thankyou for this video

• Bro I have a test in 5 minutes and this saved me thank you

• You are awesome Nancy !! Love the way you explain !

• Hello mam what is base of log. If no base is given in log

• You are helping my Algebra 2 classes during this “home” schooling. You should make Nancy Pi t-shirts!

• anybody else doesnt know how she factored at 7:44

• Thanks Nancy.

• I got here from an Allen Holdsworth concert.
(Give me a like when you finally get it ;-)…. )

• Pls make video on reading log table๐๐

• Solving logs are easier than watching them

• I’m not interested in math,but I enjoy

• Nice video, but there’s is one more property of Logs that wasn’t mentioned and that is the change of base…

• Great videos!!! I love how you explain the process of mathematics and thank you for making this video. I needed some reference on the power and quotient property. You are beautiful and smart!!

• Thank you!

• You are so beautiful ma’am . Why didn’t youtube recomend this before, anyways you are very pretty

• thank you

• It’s a mess! you can’t unsee that. Nancy you are my favorite

• Send to me a message, since i want together with in paper, working

• This was SO helpful. Thank you!!

• 07:52 how do you get (x-4)(x+2) ?

• in my opinion, you need to add a condition so that the logarithmic equation has a real number solution.

• I just came to see her

• Nice explaination. Love from india

• Anyone notice next to extra answers she wrote wtf?๐๐โ๏ธ

• thanks sister for your help!!!!!!!

• Your teaching skills are as beautiful as you.

• Nice job, Nancy, you are a great teacher.

• Thank you ma’am ๐

• Thanks! You save me!

• Can you explain thi again pls

• pretty teacher

• Great video

• i never listen in math class, i choose to learn off here

• I like picturing a snail on a log…solving math problems. This video is lumberjack approved.

• You really good ma’am, I have always been struggling with understand logarithm and lost courage and interest but after watching this video, I am looking forward to better grades in my exams. Love from Namibia ๐ณ๐ฆ

• Funny, If you test the results (-2 and 4) of the 2nd problem on log2(x^2 + 2x) both work.
Weird??? Maybe is just coincidence.

• Hi! can i attach the youtube link of your video to the self-learning modules of our department in order for the students to learn more from the contents of this video aside from the modules that will be distributed to them? Thanks a lot.

• You are so quick pls quiet bby

• she always seems shy lol

• Do you do competitive programming?

• Best math teacher

• I already know all of this but cant stop listening to her! She is great!

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