# How do you solve log x = -3?

Apr 21, 2016

$x = \frac{1}{1000}$

#### Explanation:

Use the Property: $y = {\log}_{b} x \iff {b}^{y} = x$

${10}^{-} 3 = x$

$x = \frac{1}{10} ^ 3$

$x = \frac{1}{1000}$