# How do you evaluate log_(1/2) (1/8)?

##### 1 Answer
Sep 21, 2016

Log means you have to find the power to which you have to raise the base in order to get the argument of the log.

#### Explanation:

In other words: $x = {\log}_{g} a \leftrightarrow {g}^{x} = a$

Or: ${\left(\frac{1}{2}\right)}^{x} = \frac{1}{8}$

Where $x = 3$