# How do you solve 5^(2x+2)=1/625?

Aug 25, 2016

$x = - 3$

#### Explanation:

${5}^{2 x + 2} = \frac{1}{625} = \frac{1}{5} ^ 4 = {5}^{- 4}$

so

$2 x + 2 = - 4$. Solving for $x$

$x = - 3$