How do you solve equations like this Veeky Forums

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Other urls found in this thread:

wolframalpha.com/input/?i=x^2 = 2^x
en.wikipedia.org/wiki/Lambert_W_function#Example_1
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take the xth root

It's a troll. There's only two solutions.

wolframalpha.com/input/?i=x^2 = 2^x

>posts a link showing there are three solutions

0=sqrt(2)*2^x - x

Numerically.

bumping I want to know this to

if you have quadratics possible then graph it this is high school math user

"graph it and look" is a brainlet-tier solution, not at all generalizable.

This class of problem is deceptively simple user, a quick investigation reveals that solving [math]x^k = k^x[/math] involves the Lambert W function which is non-elementary, that is it cannot be described in terms of a finite number of elementary operations.

bump