# How do you solve 2^(2x)=1/8?

Dec 27, 2016

$x = - \frac{3}{2}$

#### Explanation:

Since

$\frac{1}{8} = {2}^{-} 3$

the equation is equivalent to the following:

${2}^{2 x} = {2}^{-} 3$

that reduces to:

$2 x = - 3$

and

$x = - \frac{3}{2}$