# How do you solve 25^x-28=97?

Jul 30, 2016

$x = 1.5$

#### Explanation:

${25}^{x} - 28 = 97$ or

${25}^{x} = 97 + 28$ or

${25}^{x} = 125$ or

${\left({5}^{2}\right)}^{x} = {5}^{3}$ or

${5}^{2 x} = {5}^{3}$ or

$2 x = 3$

and $x = \frac{3}{2} = 1.5$