# How do you evaluate log_2 16?

Jul 9, 2015

Since $16 = {2}^{4}$ we can rewrite

#### Explanation:

$= {\log}_{2} {2}^{4}$

Exponent rule:
$= 4 \cdot {\log}_{2} 2$

${\log}_{b} b = 1$ (for any $b$) $\to {\log}_{2} 2 = 1$
$= 4 \cdot 1 = 4$