Question

Calcule x, de modo que 10 elevado a 2x menos 4 é igual a 1

Answer 1

$10^{2x-4}=1$

$2x-4=0\\ 2x=4 \\ x= \frac{4}{2} \\\\ x=2$

Answer 2

$n^{0}=1~~se~n\neq0$
_______________________

$10^{2x-4}=1\\10^{2x-4}=10^{0}$

Bases iguais, iguale os expoentes:

$2x-4=0\\2x=4\\x=4/2\\\\\boxed{\boxed{x=2}}$