Stanford University Olympiad | Can you solve it? | X=?

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Explore the interesting world of exponential equations with varying bases and unlock the power of exponentiation! In this educational video, we delve into the concept of exponential equations where the base is not a constant value. Learn the fundamentals, discover the properties, and master solving equations with different bases, all explained clearly and concisely. Join us on this exponential journey and level up your mathematical prowess!
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[@Alamaths]

Hello My Dear Family😍😍😍
I hope you all are well 🤗🤗🤗
If you like this video about
How to solve this math problem
Please like and subscribe to my channel as it helps me a lot，🙏🙏🙏🙏
❤❤🎉🎉

[@Health-awarenesswithNafeesah]

Thanks sirrr 😊

[@Alamaths]

Thanks dear ❤❤😊

[@marcelocampoamor4761]

I think it is necessary to define for which values ​​of x the equation is valid and if the solution is real numbers only or if the complex solutions are also valid. Since the square root of x x cannot be less than zero. The solution is not complete.

[@Alamaths]

Great. Thanks for the comments 👍
Are you a professor of maths 💖?

[@marcelocampoamor4761]

No, I'm not, but I still remember the lessons of mathematical analysis from my youth. In order to solve an equation correctly, you have to be able to interpret the solution. It's not enough to just solve it, but to know what the solution obtained means.

[@michallesz2]

x=ln(10)+ln(V10)= 2,302....+ 1,151...= 3,453..

[@Alamaths]

Great 👍. Thanks for the comments.
Where are you watching from 💖?

[@tomtke7351]

x^(sqrt(x))=10
(sqrt(x))log(x)=log10
sqrt(x) = (log(20))/log(x)
x= [(log(20))/log(x)]^2
x=[(log(20))^2/(log(x))^2
x(log(x))^2=(log(20))^2

[@Alamaths]

Great 👍. Thanks for the comments
Where are you watching from 💖?
NB: you didn't get it.

[@jamesharmon4994]

Ok... so what is the numeric value of x to three significant digits?

[@jamesharmon4994]

By observation, it must be between 3 and 4

[@Alamaths]

Yeah. Thanks for the comments 👍
Where are you watching from 💖?

[@kcwong2878]

3.4527614

[@jamesharmon4994]

@@kcwong2878 TY 😀

[@jeremybuchanan4759]

~ 17557 / 5085