# How do you evaluate log_4 4^-0.38?

Nov 30, 2016

I got $- 0.38$

#### Explanation:

We can take the exponent in front of the log and write:

$- 0.38 {\log}_{4} \left(4\right) =$

but ${\log}_{4} \left(4\right) = 1$ (from the definition of log) so you get:

$- 0.38 \cdot 1 = - 0.38$