How do you solve 5^(3x + 2) = 25?

Apr 9, 2016

$x = 0$

Explanation:

$25 = {5}^{2}$

So ${5}^{3 x + 2} = 25$

$\textcolor{w h i t e}{\text{XXX}} \rightarrow {5}^{3 x + 2} = {5}^{2}$

$\textcolor{w h i t e}{\text{XXX}} \rightarrow 3 x + 2 = 2$

$\textcolor{w h i t e}{\text{XXX}} \rightarrow x = 0$