Math Help - How to solve 2^X = X^2

1. How to solve 2^X = X^2

$f(x) = x^2$
$g(x) = 2^X$

Find regions where $f(x) > g(x)$
Is it possible to solve this algebraically or only guess and check?
by guess and check I mean subbing different values for x

2. Originally Posted by supersaiyan
$f(x) = x^2$
$g(x) = 2^X$

Find regions where $f(x) > g(x)$
Is it possible to solve this algebraically or only guess and check?
by guess and check I mean subbing different values for x
x = 2 and x = 4 are obvious solutions to f(x) = g(x).

To solve f(x) = g(x) algebraically would require using the Lambert W-function.