A Beautiful Exponential Equation from Romania

[@tonyscott1658]

The x=1 solution can be seen by inspection.

[@mcwulf25]

If 0

[@SyberMath]

Did I write it the other way around? 😮

[@timothybohdan7415]

@@SyberMath Yes, you wrote LHS < RHS for the 0-1 interval. I spotted the same mistake.

[@liberalaccidental]

For x < 0, the LHS is greater than 2 + 3 since the exponents are positive, and the RHS is less than 1 since the exponent (x^5) is negative

[@lettucehelper]

That only holds for x=

[@FisicTrapella]

I'd like a mathematical deduction, solving the equation...

[@MichaelHermann-v5u]

at 7:25 you said that the term 2^(x^2)/2^(x^5) is bounded by 2/5 which is true but seems to come out of nowhere (the term is bounded by 1 even). My guess is that for the denominator you calculated with 5^(x^5) instead and got the 2/5 from there

[@lettucehelper]

Yes, it appears he meant to write 2^(1-x^2) < 5^(1-x^5), from which we find
(2^(x^2))/(5^(x^5)) > 2/5

[@roberttelarket4934]

From Romania with love. Maybe SyberMath speech is from there?

[@SyberMath]

😍❤️ with love from The United States...

[@rakenzarnsworld2]

x = 1