# How do you evaluate log_8 2?

Sep 3, 2016

Start by remembering that the log function is the inverse of the exponential function.

#### Explanation:

${\log}_{2} 8 = y \implies {2}^{y} = 8$

2 is the base of the logarithm, and of the exponential also.

2 raised to what power equals 8?

${2}^{3} = 8$, right?

So, ${\log}_{2} 8$ equals 3.

Sep 3, 2016

$\frac{1}{3}$

#### Explanation:

${\log}_{\text{8}} 2 = x$

${8}^{x} = 2$

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