# How do you solve -4=log_5x?

Dec 8, 2015

$x = \frac{1}{625}$

#### Explanation:

Consider ${\log}_{10} x = y \to {10}^{y} = x$

Using the same concept for your question:

${\log}_{5} x = \left(- 4\right) \to {5}^{- 4} = x$

so $x = \frac{1}{{5}^{4}} = \frac{1}{625}$