Solving Logarithmic Equations... How? (NancyPi)
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: • Logarithms... How? (Na...
Follow Nancy on Instagram: / nancypi
Twitter: / 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?" ( • Logarithms... How? (Na... ) 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: nancypi.com
Пікірлер: 796
She out here saving grades in the middle of this corona pandemic
@danieldelarosa4252
4 жыл бұрын
Fr
@Steezydlo
4 жыл бұрын
haha ong
@mahas943
4 жыл бұрын
frr, shes better at teaching than my teachers man
@kalkarlssen3491
4 жыл бұрын
I learned nothing in online math
@noahkim7804
4 жыл бұрын
On god she is
So far through lockdown, Nancy Pi, is beyonf doubt the most articulate mathematician on KZread, taking the viewer through the process in baby steps so that you cab REALLY grasp what is going on. I wish my maths teachers had been a tenth as good as she is.
@NazriB
10 ай бұрын
Lies again? Serie A Leader AMWF CAR
My students and I love your clear, neatly written, very well planned lessons.
@amanc9835
4 жыл бұрын
why don't u teach the class lmao tf i pay taxes for
@JesusGarza-cu2oz
4 жыл бұрын
@@amanc9835 😂
@sirleo5103
3 жыл бұрын
@@amanc9835 lmfao.
@sirleo5103
3 жыл бұрын
I don't think it's Nancy's lessons they're paying attention to...
@vengeance6060
3 жыл бұрын
Idiot
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 :)
@atall1669
2 жыл бұрын
just in time before my final :D
Oh my god, she was writing normally! She used a mirror mode to make the video comprehensible.
@LattoSan
5 жыл бұрын
Chloe Yen Thats so amazing
@ObsidianParis
5 жыл бұрын
Nonsense, she's just applying the [ -1 0 ; 0 1 ] matrix by heart to her writings ! :-)
@KermitDominicano
5 жыл бұрын
or maybe just maybe she’s a god
@KermitDominicano
5 жыл бұрын
nah it’s mirror mode
@MajesticGamer1133
5 жыл бұрын
When ur an MIT grad......
Nancy, your videos are a pleasure to watch. I love the way you use a glass board, write clearly on it, and fast forward the writing. Your explanations are on point and you are also such an affable person. Thank you for all your help.
NancyPi. Your explanation is so efficient and elegant. I’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.
I never closed Khan Academy so fast :-)
@DecafMathASMR
5 жыл бұрын
lol!
@jyl123
5 жыл бұрын
ccsvenezuela2006 ha
@shy26gaming81
5 жыл бұрын
what?
@topones6879
5 жыл бұрын
lol
@HowtoDoStuffwithEthan
5 жыл бұрын
same
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 struggled for hours on this subject, but the way you break everything down is super helpful, I am finally starting to understand Logarithmic Equations.
You are more helpful than all the other videos that I watched. Thank you so much!
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.
this is the first time logs have actually made sense to me, also its nice to see a girl teaching these videos for once :)
You gotta know you have LITERALLY SAVED MY LIFE through these videos. bless your heckin soul !!!
@EFLO3D
5 жыл бұрын
figuratively
@joshcuneo2782
4 жыл бұрын
Eflo maybe they meant literally
Thank you so very much Nancy! You brought back my love for Math.
An excellent teacher. Teaching is a gift, not everyone has that gift. This lady has the gift to convey ideas in a simple manner.
I love how you waste no time with the writing but still explain it in a way someone can understand it. I normally don't have the patience for all of the writing and tend to skip and end up missing important notes for the lessons. Thank you for you well planned lessons.
Hello Nancy, This Terrence Yarngo, who watched your youTube video for personal studies of calculus daily. You are a great teacher and I admired your methods of teaching calculus, and logarithms using both the chain and product rules. The process you use to solve problems, makes calculus much more easier to understand. Please keep up the wonderful work you're doing for student like me. Thank you so very much for such an outstanding job! Best regards, Terrence Yarngo
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
thank you so much!!! this is the best video I have been able to find on logs! I love the way you explain and write everything so neatly!
Omg I’m studying for a major exam that requires math ( algebra, geometry etc) that I haven’t used in years and I could not get this in the review class and now I totally get it. You are a lifesaver. Thank you sooooo sooooo much for doing these videos. You really are making a difference to help struggling students like myself understand math. Again thank you and I appreciate you.
Thank you a lot this is truly amazing Nancy ....keep up the good job
Thank you! You make everything seem so much more simple!!
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.
Nancy has a magic touch, she explains very well, making mathematics more accessible to all. Complimenti!
You’re literally a godsend Nancy!!! Thank you so much 🤞🏽💕 time to pass this math 41 final
@happylad7549
3 жыл бұрын
41%😂😂🔥
Thanks a bunch, I have a final exam next week, and my prof kinda breezed through the exp/log functions chapters. Perfect timing!
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
@joelacosta5584
5 жыл бұрын
Senzekile Sibiya sammeee
@ushygushy9316
5 жыл бұрын
Same 😔
@SmileyBoySaGaming
5 жыл бұрын
logs are ez dafuq do u mean
@kiyoponnn
4 жыл бұрын
@@SmileyBoySaGaming Agreed. For me trig is harder because of all the fucking memorising I have to do😭
@isavenewspapers8890
2 ай бұрын
@@SmileyBoySaGamingSorry we can't all be as smart as you, Einstein.
That was possibly one of the best math tutorials ever. Thank you ☺️🙏🏽
Thank you Nancy! I’m crying right now, I’m so happy. I’m scared to watch any other Videos because they may confuse me!
This was SO helpful. Thank you!!
You are an amazing maths instructor. I took this lesson 20 year's before when I was high school. You know what, logarithm was one of difficulty lesson on that time for me.I wish to be your students. Because you game me a clear image of logarithm concept. Tnx
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!!
Explained beautifully, in a simple way.
Quick and to the point...Beautifully said!
I already know all of this but cant stop listening to her! She is great!
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 🇳🇦
Thank you very much for all your videos. I think you are very Creative, Dedicated, Passionate, Caring, Grateful, Innovative, Excited, Motivated, Resourceful and Determined
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!
She explains this better than my professor. He talks through a crappy earbud microphone and will not slow down for the life of him lmao.
@GooseCrack
2 жыл бұрын
dude the mic fr
Nanacy you are the best. Because you approach is simple and bright to understand.
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.
This video is great! It is so easy to understand and I really needed to know this for my math final exam :3
a word thank u is never enough, ur videos are very helpful. so thank u to the exponent of infinity :)
That was awesome, A good mathematician indeed! was able to recollect,and relearn once again with all forms of log in a single lecture, Thanks Mam! Thankyou for your time.
After my exam, I'll make sure I watch all ur videos. You are just a life saver!
Thank you soooo much 😭 tomorrow i have a logarithm exam and i couldn’t understand anything from my teacher’s explanation but you really helped me❤️
Thanks Nancy, this helped so much. Your an Awesome teacher.
This helped me a lot, thank you so much !!❤️
simply amazing.....why I haven't came across this earlier ....great stuff...keep it 👊👊✍✍
I watched the video twice once for understanding logs and the second time for her. I appreciate everything.
Thank you Nancy,you make maths fun for me
Brilliant simple way of serene teaching
Wooowww thank you sooo much!! You taught it so clearly I was so confused before !!
At 9:30, you can use log_a(b)+log_a(c) = log_a(bc). [Two logs of the same base added together have their arguments multiplied together] Therefore, log_2(-2)+log_2(-4) = log_2(-2x-4) = log_2(8) which is equal to 3 as 2^3=8.
Such a wonderful video, Twas helpful. Thank you!
very clear and educational - maths does not get any better than this
U helped me clutch another math test out. Thank you again. :)
Amazing explanation, appreciate all your effort
Such a lifesaver. I learned none of these properties in class and I thought I was somewhat prepared. Now I think I know it all!
After watching all her videos i realised that she’s actually teaching something. 🥰
Thank you! You make it look extremely easy! ❤
Now that I have watched this video, I can sleep peacefully knowing that I am able to keep up with what is being taught at my advance Math class. THANK YOU SO MUCH NANCY, YOU ARE A SLEEP SAVER!
im not even mad there's so many ads this lady explains everything with such ease. She deserves it
Relearning math after having been out of school for a while. Subscribed. Thanks
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
thank you, you explained these things so well
Thank you so much. This video was so helpful.
i've learned more in from you 15 minutes than i have in my entire 12 years of schooling. you are a lifesaver
Another excellent presentation!
Nice job, Nancy, you are a great teacher.
You are helping my Algebra 2 classes during this "home" schooling. You should make Nancy Pi t-shirts!
You're a LIFE SAVER! Thank you!
literally taught me more in this 1 video then my teacher has taught me in 2 weeks. thank you sm
Thank you. This is really going to help me for my Grade 12 Maths Exam Paper 1 Tomorrow
Good explanation 💓. Appreciate your efforts
Haven’t seen any recent videos,I hope you return and everything is ok with you,your very talented in what you do,and it’s great to learn from you,again I hope to see you returning real soon😊👍
love your teaching video. very informative and helpful.
You are doing great job..I really enjoying your explaination
Thank you so much Nancy Pi! You saved my life.
I am struggling with my Applied Calculus course at University and I found her videos. So far I have watched close to 20, even reviewing the basics,(Factoring, Exponential etc). It is finally clicking. It is me, or is NancyPi absolutely adorable?
You are truly a great teacher.
Missed one day of school and now I’m so lost.
@kennyo4230
4 жыл бұрын
Nely Silva feel yah
@calvinmead7564
3 жыл бұрын
For real. You could be doing nothing in school all week, then you miss one day and come back and missed this
@tomruss2477
2 жыл бұрын
Literally me missing the first day of log
@britneyazuara1599
Ай бұрын
MEEE LOL RN
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! 😊 🙏
Thank you so so much for making me fall in love with math!!! God bless you xxx
Thank you for making the bitter, sweet!!
Excellent explanation Nancy
Creative level 100%. Thanks. Love you.❤
thanks for this informative video nancy
At some point I just started watching your videos even though I don't need it
@EklavyaGoyal
5 жыл бұрын
Lmao same
@leovolont
5 жыл бұрын
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
Thank you Nancy. Very helpful. l think I finally get it now. Keep up the good work.
Thank you. Very understandable explanation.
Wonderful! Thanks for the help
You're teaching style is so good.. I wish my teacher taught me like this.. Tysm for clearing all my doubts regarding logs 🙏❤
Thank You NANCY!!!!!!
I wish she did change of base because the ones on other channels are confusing me, and so far her channel is the best .
Clear, Helpful and Charming !, Thanks
Great video! Really helping me out with my final tomorrow :^)
So helpful and clear. Thank you
Excellent explanation of logarithms.