# How do you solve 1/4(4)^(2x)+1=5?

Sep 5, 2016

$x = 1$

#### Explanation:

Isolate the the term with the variable:
$\frac{1}{4} {\left(4\right)}^{2 x} = 4$

Get rid of the denominator:
${\left(4\right)}^{2 x} = 4 \times 4$

Make the bases the same:
${\left(4\right)}^{2 x} = {4}^{2}$

Equate the indices and solve for x:
$2 x = 2$

$x = 1$