# How do you solve logx = 3?

Nov 20, 2015

$x = 1000$

#### Explanation:

Note that when $\log$ is not paired with a base, there base is implied to be $10$. So, $\log x$ can be written as ${\log}_{10} x$.

${\log}_{10} x = 3$

${10}^{{\log}_{10} x} = {10}^{3}$

$x = 1000$