Inverse of Exponential & Log Functions

[@ritviksingh3580]

5 years later, still the best video on this topic. Thank you.

[@thelaurilee]

Thank you for letting me know. 😊

[@mlkmlkmme2926]

You are very good👍👍👍. I can hear that English is your home language yet you are speaking very softly making sure that we hear and understand every word. God Bless!!!

[@thelaurilee]

Thank you for noticing! I try to speak so that everyone can understand me and have time to comprehend what I’m saying.

[@Graveoffeces666]

Thank you so much! You are a wonderful teacher. One of the best on KZbin, that I've seen at least. Thanks again!

[@WiederholdMathHelp]

Graveo, thanks for sharing that with me. I really do try to break it down so that no matter where you are in your math journey, you will be helped.

[@amandafarrell3974]

Thank you very much for taking your time and explaining these steps.. We are doing a review for Calculus and its been a few years since I had college math,but your videos have helped immensely..Thank you again,now I feel confident as ever for my final exam

[@thelaurilee]

Amanda Farrell, Thank you for letting me know. I’m so glad my video was helpful!

[@Lisa.jomy123]

Who is watching this for online school? The video helped me a lot to prepare for my test btw!!! Thank you very much ≧﹏≦ !!!!

[@MrBingie]

THANK YOU, you helped a lot Miss. I really appreciate and definitely worth subscribing for sure.

[@thelaurilee]

I’m so glad my video was helpful. My channel has videos for every topic in Algebra 2. I hope they will be helpful to you as well. 🤗

[@hey_itsme4281]

This helped a lot! My algebra teacher wasn't in class yesturday and just gave us this work to figure out by reading a textbook and we had no way to ask any questions. We have a quiz on this stuff today. Wish me luck

[@thelaurilee]

I’ll do better than wish you luck. I hope that you will be able to recall everything you learned and understood in the video and that it will help you understand and answer the questions on your quiz correctly. Please let me know how you do on the quiz.

[@hey_itsme4281]

@@thelaurilee I took it and I think I did well! Not sure what the grade is yet but I felt comfortable with it

[@NMM-mc1ou]

i have a quiz tomorrow and this really helped me,,,thank you sooo much 🌹

[@WiederholdMathHelp]

I know this reply is late, but thank you for your comment and I'm glad my video helped. 😊

[@cleissonguarez4864]

Thank you from Brazil.

[@WiederholdMathHelp]

Thank your for letting me know and for letting me know where you are from. This is one thing I love about the internet is that people from all over the world can help each other and learn from each other. I have many more videos on my channel. Hopefully they may be helpful!

[@Hector-xy8bp]

I learned more from this than a whole week of class

[@thelaurilee]

SiR Quackington Thank you so much for letting me know. I am so glad my video was helpful to you!

[@rashawnhoward564]

why not f-1(y) = 10^x+2? since its the inverse would it not go from f(x) -> f-1(y)? example: f(x) = 2^x assuming x,y elements of f-1 that is f-1(y) = x. then y = 2^x -> log2y = x so inverse would be f-1(y) = x = log2y right?

[@WiederholdMathHelp]

Hi Admiral Coby, I am so sorry that I never responded to your question. I meant to and then totally forgot. When finding the inverse of a function, there are two ways to teach it. I teach it by switching x and y and solving for the new y. Then I put it back in function notation, based on the way the original function was stated (in terms of x). Another way is to solve for x and then state the inverse in terms of y. If I followed your question correctly, you are stating the inverse in terms of y, which means your function should read f^-1(y) = 10^y + 2. This also means that f^1(y) = log(base 2)y is correct, if you are stating the inverse in terms of y. I hope this explanation helps. If I've misunderstood your question, please let me know. Thanks!!!

[@eleazarchinne1678]

2018 and you still doing it like Nike. Thanks very much this helped my soul for my math final

[@thelaurilee]

Eleazar Chinne you are very welcome! I’m so glad it helped you on your math final.

[@kriyangovender26]

so good

[@thelaurilee]

Thank you!

[@merylauracamacho339]

thank you! it help me so much

[@thelaurilee]

I’m so glad it was helpful and thanks for letting me know! Just curious, did you have to watch an ad before viewing my video? My videos aren’t supposed to have ads shown.

[@fadwarezika9041]

Thank you!! the video is extremely helpful and clear with easy steps

[@thelaurilee]

I am so glad it was helpful! Thank you for letting me know.

[@randommonkey4900]

really helpful and you showed every step needed gracias

[@thelaurilee]

Thank you for your comment. I’m so happy to know that this video is helpful!!!

[@lawrencenyamunderu207]

I learned a lot from your explanations. You are doing a great job keep it up.

[@thelaurilee]

LAWRENCE NYAMUNDERU Thank you so much! Im so glad my video was helpful and thank you for the words of encouragement!

[@brittanypitt2007]

GREAT VIDEO!!!!

[@thelaurilee]

So sorry I didn’t see your comment before. Thank you!

[@sherryu]

I really appreciate the way you explained the inverse log and exponential functions. I just could not understand it in my online class. I'm not so terrified anymore!

[@thelaurilee]

Sherry Uyeda thank you so much for your feedback. It really means a lot to me. I am teaching a different type of math class this year and haven’t made any new algebra videos. I love making videos and hope to get back to it soon.

[@jmilligan3050]

This helped me soooo much, ❤️❤️❤️🤗🤗thank youuu

[@thelaurilee]

Thank you for letting me know!!!

[@aeril5458]

if u transpose the sign will change Right? Why it didn't change in the video?

[@thelaurilee]

Summer Ramos Thanks for watching my video. Will you clarify what your first question? I am not understanding what you mean by “...transpose the sign will change...”.

[@coleabrahams9331]

Thanks so much!

[@thelaurilee]

You are very welcome!

[@xZjicex]

Thank you so much. You explained it so much easier than my teacher did and I have a test tomorrow. :)

[@WiederholdMathHelp]

Sorry this reply is so late, but thank you for your comment. I hope you did well on your test!

[@bov5826]

you're amazing

[@thelaurilee]

Thank you for the kind words!

[@Lewis-fr9mu]

Why is X and Y switched? Is it because the inverse of (a,b) is (b,a)

[@thelaurilee]

Yes, you are correct. Thank you for your question.

[@adrianasvlogs2919]

I’m so grateful I found this video 💕 thank you so much 😊

[@thelaurilee]

Isabel Palaguachi I’m so glad you liked it. I love knowing my videos are helpful!

[@DISWGACAS]

Thank you, this video is helpful and so clear and easy steps, nice.

[@WiederholdMathHelp]

Dialenia, I'm so happy to hear that my video was clear and had easy steps to follow.

[@ronnietoni819]

I still don’t know how to do it BUT I figured it out, I’m just good with figuring out stuff and that it😂

[@thelaurilee]

Thank you for your comment.

[@adrianrojas8636]

Beautifully done, Very helpful!

[@thelaurilee]

Adrian Rojas thank you for your comment! I’m so glad this video was helpful!!!

[@mikewalker7385]

Thank you, Thank you, Thank you.

[@thelaurilee]

You are very welcome! I'm glad it was helpful!

[@shaikhkhalid93]

Thanks Alot, this video is very helpful.....

[@WiederholdMathHelp]

Khalid, Thank you for letting me know.

[@DawsonForTheNguyen]

how did you get log base 10?

[@WiederholdMathHelp]

Logarithmic functions have a common base of 10. As I tell my students, this base is invisible. Just like a coefficient of one is invisible (x^2 = 1x^2). So, my first example of "log (x - 2) is the same as "log(base 10)(x - 2). If a log has any base other than 10, you show it. Does this explanation answer your question?

[@yashkapoor5894]

Thanks!

[@thelaurilee]

Yash Kapoor you are very welcome! I hope it was helpful!!!

[@1edking]

Ttthhhhaaannkkkss !!! Got it now

[@thelaurilee]

Edgar Sevilla Yayyyyyy! Thank you for letting me know!

[@malenygonzalez577]

You just saved me omg thank you 🙏

[@thelaurilee]

UNICORN LOVER , I’m so glad my lesson helped! Thanks for letting me know.

[@yuribarrias5311]

Thank you so much... me ajudou muito kkkkk

[@thelaurilee]

Yuri Barrias I am so glad it was helpful! 🤗

[@MaddyUSA2023]

you are great!!!!!!

[@WiederholdMathHelp]

Thanks!! Did it help?

[@MaddyUSA2023]

yes it really did..my professor, Doctor Lang is excellent, but because I missed one class I had to review the material, and you did an amazing job..you Mr teaching is good as his. very clear and easy method of understanding. Have a nice thanksgiving.

[@thelaurilee]

Thanks for the feedback. I hope you have a nice Thanksgiving too!

[@justanotherone9339]

omg you helped a lot;-; i was struggling

[@thelaurilee]

So glad my video helped! I have many more algebra 2 videos on my KZbin channel. 🤗

[@anitadamahe4895]

thanks miss Lee

[@thelaurilee]

Anita Damahe you are so welcome! I hope it was helpful!!!

[@HapPy-mf8dg]

extremely helpful Thank you!!!

[@WiederholdMathHelp]

I'm so sorry I did not thank you for your comment a year ago. Thanks and I'm so glad my video was helpful!

[@aramforever1264]

Great video thanx Miss !

[@WiederholdMathHelp]

You are welcome! I hope it helped.

[@pablitomoraes]

Muito obrigado!!

[@WiederholdMathHelp]

You are welcome! I'm always glad to know my videos are helping.

[@anaaya3131]

very well explained, thankyou!

[@thelaurilee]

AyMoreno you are so welcome. Thank you for letting me know!

[@sirichatradi4514]

why is there a log base 10

[@thelaurilee]

Logarithms must have a base, just as exponential terms have a base. It can be any number, such as log base 5, log base 10, etc.; however if the base of a log is 10, it is referred to as a common logarithm and you do not have to show the base 10 because it is implied. If the log has a base other than 10, you do have to show it. Did I answer your question? If not please let me know.

[@ingridromero7907]

you just saved my grade

[@thelaurilee]

Ingrid Romero, thank you so much for letting me know!

[@whatelseyouwantgaming7166]

This teacher lit

[@thelaurilee]

WHATELSEYOUWANT GAMING thank you so much for your compliment! I hope it was helpful. 🤗

[@tarfaibrahim912]

THANK YOU SO MUCH IT HELPED ME ALOTE!

[@WiederholdMathHelp]

tarfa ibrahim Yay! Thanks for letting me know.

[@donsaboter2543]

amazing

[@WiederholdMathHelp]

Thank you so much!

[@donsaboter2543]

you help me alot for real. YOU HELped some one from cabo verde eheheh :) HAVE A GOOD DAY.

[@OmarAliLY]

i understand it , thank you

[@WiederholdMathHelp]

Omar, you are so welcome! I'm glad my video helped. :)

[@smileyface702]

Thank you!! :)

[@WiederholdMathHelp]

You're welcome! I enjoy making these videos and appreciate your comment.

[@malennymarquez8986]

THANK U SO MUCH!!

[@WiederholdMathHelp]

Malenny, you are welcome. I hope it was helpful.

[@heitorluizpereira]

You saved my test

[@WiederholdMathHelp]

Heitor, I'm so glad it helped. 😊

[@ismaelnaruto30]

thanks a lot

[@WiederholdMathHelp]

You are so welcome!

[@christianarcan2043]

thanks ma'am... :)

[@WiederholdMathHelp]

You're welcome! I hope it helped and I appreciate your comment.

[@jtotherock7244]

speed 2x?

[@WiederholdMathHelp]

Ant Lalli, I apologize for just now replying. Did you have a question? I don't understand your comment. If you can be more specific, I would love to help.

[@jdhfjjdfjjfjfj7011]

I NEED GRAPH ;;;;;;;;;99900

[@WiederholdMathHelp]

I'm so sorry there isn't a graph. If you are finding the inverse with a graph, just pick several points on the original graph. Switch the x and y of each point and then graph the new points. Let me know if this helps.

[@HapPy-mf8dg]

extremely helpful Thank you!!!

[@thelaurilee]

Hap Py thank you for your comment. I’m so glad my video was helpful.

[@HapPy-mf8dg]

extremely helpful Thank you!!!

[@WiederholdMathHelp]

You are so welcome! :)