# How do you solve 10 log x = 15?

Dec 6, 2015

Divide both sides by $10$ then take exponents to find:

$x = 10 \sqrt{10} \approx 31.627766$

#### Explanation:

First divide both sides by $10$ to get:

$\log x = \frac{15}{10} = \frac{3}{2}$

Then taking exponents we find:

$x = {10}^{\log x} = {10}^{\frac{3}{2}} = {10}^{1 + \frac{1}{2}} = 10 \sqrt{10}$