Lambert W Function solving exponential equations

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Solving equations with the Lambert W Function
For more info on the Lambert W function:
Introduction Video:
• Lambert W Function - I...
Playlist:
• Lambert W Function
Many practice problems:
owlsmath.neoci...
owlsmath.neoci...
My very primitive Lambert W Calculator (by Newton's Method):
owlsmath.neoci...
Website:
owlsmath.neoci...
For more great math videos check out Maths Plus!
/ @mathsplus01
#algebra
#lambert
#lambertwfunction
internal note: problem type 13 from LW challenge

Опубликовано:

29 сен 2024

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Комментарии : 65

@dianedong1062 10 месяцев назад

I'd find it easier to follow along if you would rewrite the equations step by step rather than modifying what you've already written.

@owlsschoolofmath9732 10 месяцев назад

Hi Diane. Thanks for the feedback! It's a good point. I could be clearer in the presentation.

@mrz.x6810 10 месяцев назад

I was able to follow it and I’m in the 9th class.. (14 years old)

@owlsschoolofmath9732 10 месяцев назад

@@mrz.x6810 WOW thats great! keep it up :)

@syedmdabid7191 3 месяца назад

So conjusted calculation, didn't get it.

@tonytor5346 10 месяцев назад

Absolutely horrible way to teach! It’s.because of people like this that people completely give up,on math When you say “let’s divide by 8x. You completely lose me and likely a lot of the audience! Why not divide by Pi , while we are at it, why not the Plank constant? Why not divide by Avogadro’s number? AN ABSOLUTE AND COMPLETE DISASTER AS A TEACHER!

@rutamupadhye1828 9 месяцев назад

now you need a good spanking. This aint the teachers fault, its the solvers problem. He needs to be able to recognize what to do when. That is maths- logic. And you can only develop this by solving a variety of questions...only then you can realize at that point which method to apply or which path to go down. Avagodros num or pi or whatsoever doesnt end us with the solution, if no i'd like u to prove otherwise

@charlottewhyte9804 5 месяцев назад

fn makes no sense atall.

@souzasilva5471 10 месяцев назад

Teacher, you are very disorganized and have a cacography.

@owlsschoolofmath9732 10 месяцев назад

Hi. Thanks for your comments. I'll work on it and try to do better! :)

@rutamupadhye1828 9 месяцев назад

well cacography is a new word for me...now i know :)

@nooruddinbaqual7869 19 дней назад

This is no step by step solution. Is the value of x ,a real number or a complex one? If complex,it should have been in the form a+jb .How the graph has been drawn is also not clear. Anyway thanks for your efforts.

@owlsschoolofmath9732 18 дней назад

Yes its a pretty rough graph. Was thinking of redoing this video. I should have mentioned that we are looking for real solutions. Anyway in that region of the graph I show towards the end between 0 and -1/e you will have 2 real solutions. For values > 0 you have 1 real solution. For values < -1/e you have no real solutions. But in all cases you have an infinite number of complex solutions.

@ashishraje5712 12 дней назад

I will call this the play of Lambert wonderful, i wud like to see a symphony of lamberts, sorry i am going overboard

@owlsschoolofmath9732 11 дней назад

😂 thanks! 🙏

@owlsschoolofmath9732 Год назад

How is this video getting views? I don't even have subscribers! 🥳😵🧐🙀

@moeberry8226 Год назад

Not everyone that views your videos will subscribe lol.

@owlsschoolofmath9732 Год назад

@@moeberry8226 ha! good point. I think when I wrote this comment initially I was barely even posting public videos on this channel so I was expecting like 2 views on a video. 🤣

@davidbrisbane7206 10 месяцев назад

A complex solution can we obtained by calculating the W₁ branch of the Lambert W function for the given value, which results in a complex solution of x = 2.34760075 - 4.50573993i

@owlsschoolofmath9732 10 месяцев назад

nice!!! :)

@RobertoLopez-cz8pm 21 день назад

Anybody know how to solve 3^x - 2^x = 6 ??, (x=2,13)

@owlsschoolofmath9732 21 день назад

Hi Roberto. Is there a typo in that problem? I don't think 2 or 13 are solutions.

@slavinojunepri7648 16 дней назад

Math is dangerous and contagious😂

@owlsschoolofmath9732 15 дней назад

ha! Yep you've got that right! :)

@charlottewhyte9804 5 месяцев назад

wouldn,t be just 14x why add stuff not there.

@owlsschoolofmath9732 5 месяцев назад

Hi Charlotte. at what time in the video?

@lambertWfunction_ 3 месяца назад

thanks dude

@owlsschoolofmath9732 3 месяца назад

Thank you!

@fried_ady6318 Год назад

How do you get the alternative root on Wolfram Alpha? I can't seem to find anyone who knows how. Thanks!

@owlsschoolofmath9732 Год назад

Hey! I think I did a video on that. Hold please while I look for a link... :)

@owlsschoolofmath9732 Год назад

Hi @fried_ady6318. It's an old video: ru-vid.com/video/%D0%B2%D0%B8%D0%B4%D0%B5%D0%BE-WnzIDav6mJk.htmlsi=5ayRtfNoq8xN0Hw- If you get impatient I think the information you want is towards the end :)

@chiararomano1818 11 месяцев назад

If you put the actual problem into wolfram, it’ll give you both.

@renesperb 6 месяцев назад

The solution for the general case a^x=bx+c is - (1/ln a* W[ - a^(-c/b)*l(n a)/b ] +c/b ).For a second solution one has to replace W[x] by W[-1,x] .

@owlsschoolofmath9732 6 месяцев назад

Hi Rene. makes sense. Nice thanks!

@Arriyad1 6 месяцев назад

Thank you! How did our ancestors calculate W without computers ? Are there W tables ?

@owlsschoolofmath9732 6 месяцев назад

ha! It's a good question and also kind of funny! I really don't know tbh. Maybe they just didn't calculate it 😂

@mathsplus01 Год назад

Great explanation there. I think I found a great new channel😉🥇

@owlsschoolofmath9732 Год назад

Hey Maths Plus!!!! You found me! I was trying to hide out over here! 🤣🤣🤣. But yes I am starting to post my “overflow” content over here so more Lambert W coming.

@savasalpdo 8 месяцев назад

bad ,bad...

@loai8854 6 месяцев назад

🌹🌹🌹

@owlsschoolofmath9732 6 месяцев назад

Thanks!

@SidneiMV 6 месяцев назад

It's a hard equation! (at least for me) Very well done! Congrats.

@owlsschoolofmath9732 6 месяцев назад

Thanks!

@LakshyaChandak 5 месяцев назад

6 th april 2024 learnt superb concept

@owlsschoolofmath9732 5 месяцев назад

Great! Glad to hear it and thank you!

@S_Cartoony 10 месяцев назад

Thank you so much, this was exactly what i needed to solve my expression

@owlsschoolofmath9732 10 месяцев назад

Glad to hear it! Thanks for watching 😀

@iconic410 9 месяцев назад

What calculator/website do you use to compute the Lambert W function?

@owlsschoolofmath9732 9 месяцев назад

Hi iconic. Mulitple ways...I did this video on how to do it with a spreadsheet: ru-vid.com/video/%D0%B2%D0%B8%D0%B4%D0%B5%D0%BE-sRvF6Um3vE0.htmlsi=EIkwu3-mjIIq7bA1 but more commonly I use wolfram alpha

@owlsschoolofmath9732 9 месяцев назад

hey I also did a video on how to use wolfram alpha for the calculation: ru-vid.com/video/%D0%B2%D0%B8%D0%B4%D0%B5%D0%BE-WnzIDav6mJk.html