Question

5 elevado a X = 2 elevado a X
quanto vale X ??

Answer 1

$5^x=2^x\Rightarrow x=0\\ \\ Verifique:\\ \\ 5^0=1\\ \\ 2^0=1$

Answer 2

$5^{x}=2^{x}~\Rightarrow~\dfrac{5^{x}}{2^{x}}=1$

$\left(\dfrac{5}{2}\right)^{x}=\left(\dfrac{5}{2}\right)^{0}$
 
Daí, concluímos que, $x=0$
 
$S=\{0\}$