# What is x if log5 x = -3?

Oct 22, 2015

The answer is $x = \frac{1}{5000}$

#### Explanation:

Assuming that $\log$ indicates base 10 logarythm:

$\log 5 x = - 3$

$5 x = {10}^{-} 3$

$x = {10}^{-} \frac{3}{5}$

$x = \frac{1}{5000}$