How To Solve Exponential Equation x^5=9^x || Solving Exponential Equations.

How to solve exponential equation of this kind is rhetorical but I will guide you on simple ways you can solve this kind of challenging exponential equations with easy.

In this video tutorial, I will explain to you on how to apply the Lambert W function to solving challenging exponential equations like this.
Watch from beginning to the end without skipping any parts for the full details.

Kindly share this video with those around you who need this knowledge via the video link below

Get access to other educative videos in this channel through the link bellow.
channel/UCQvzmvJzwbhNfZqLc9RvwmA

Thanks to our viewers and subscribers all over the world. 🙏🙏🙏🙋🙋🙋😍😍😍
We love you all so dearly ❤️❤️💖💖💕💕💕

#howto #maths #exponential #mathchallenge #mathematics #onlinemaths #tutorial #tutors #exponents #lambert #function #product #challenging #challenges #mathsdemoclass #solving #solvingproblems #online #onlinemathstv

[RafaelJDiaz-uycs]

Love the clever way to solve problem. However, the solution’s argument for the W Lambert function (-Ln (9)/5) is outside the domain of such function [-1/e, ∞). The curve X^5 - 9^x does not intersect the X axis, the closest value (y=-0.345) occurs when x=0.589.

[siddhantsuthar]

I am a math student(pursuing under graduate degree in India) from india and i just watched your video by YouTube suggestion and I like you way to solving problem with explain in very eazy language and I like it thank you please made more videos like this for improving students mathematical knowledge. Thank you🎉❤

[harimanharahap]

Its first time I saw the lambert W Function, when I study Calculus I and II, my lecture never taught this Lambert W Functions. I'm very blinde about this them... Please make more video especially about this Lambert W Functions. For your respect, thanks very much.

[mo]

The domain of the W function of a real number is [-1/e, ∞). The argument (-ln 9)/5 is less than -1/e. Consequently, W((-ln 9)/5) does not have a real number value. The two curves do not intersect in the real number plane, as can be confirmed by plotting them using the online graphing app Desmos.

[stuartyoung]

I like wrapping my mind around these Olympiad problems. They are most cleverly put together. They're designed to make us think outside the box to come up with a simple, elegant approach to the problem at hand.

[КатяРыбакова-шд]

Thank you very much, professor. This was the first time I saw the Lambert function used to solve an equation. This is amazing! And it's nice to learn new things!

[dusabimanaemmanuel]

The first time I understand the Lambert functions

[HarinathPitta]

You are really great mathematics and very good you are great preacher

[robertriachi]

Hy.
This equation don't have real solution.
The graphic of f(x)=x^5-9^× is strictly negative. Tx

[dianedong]

I first came accross this type of problem when I was trying to answer a question regarding compound interest vs simple interest : ax = b^x where "a" and "b" are known quantities.

[theupson]

i attempted another solution using the same reasoning:

define W: W^5 = 9^W. x=W QED

[mr.]

Well, when I first saw this I thought “there’s no way 9^x ever meets x^5, right? Cause a power function is always above the x-axis…and there’s no way for any x^a (a>0) to catch it since such functions flatten out from 0 to 1…so…what is this guy smoking?”
Perhaps I’m missing something? Like a good hit. :p
三八弟

[averycleverman]

I only watched the video because I couldn't solve it and I realised that it probably has no solution because the graphs of Y = x^5 and y = 9^x do not intersect. I thought I will be impressed if he can solve it and tell us the solution but he didn't give us any solution at all, he simply played with symbols. He should have been honest from the beginning and said this actually has no solution.

[gibbogle]

So what is x that solves the equation? Give us the value.
Plotting f(x) = x^5 - 9^x I have satisfied myself that f(x) is always < 0, with the maximum of about -0.34 occurring near x = -0.6, i.e. there is no real solution to f(x) = 0.
Am I wrong?

[alibahrami]

I never went to olympiad. but as sweet you solve this, I really enjoy and occuping with it. Many thanks dear bro!

[syedmdabid]

So, what's is the numerical value of x that you sought now?

[souzasilva]

Professor, what does W mean in solving multiple equations?

[glasssmirror]

Hi sir
Please I need to understand as to how you immediately introduced logs on this without first tackling in normal way as others in this class.

[RatkoDinic-wy]

Aproksimativno resenje je kompleksan broj x=2.004857+i×1.584805

[roden]

Какой приятный парень.
Но я не понял решения в конце - что за функцию он ввел, когда приравнял А на Е в степени А к просто А? Чему же равен Х? Что за функция в решении?