# How do you evaluate log_4 16 =x?

##### 1 Answer
May 3, 2016

${\log}_{4} \left(16\right) = 2$

#### Explanation:

We will use the following:

• ${\log}_{a} \left(a\right) = 1$
• $\log \left({a}^{x}\right) = x \log \left(a\right)$

with those, we have

${\log}_{4} \left(16\right) = {\log}_{4} \left({4}^{2}\right)$

$= 2 {\log}_{4} \left(4\right)$

$= 2 \left(1\right)$

$= 2$