Answer
$3$
Work Step by Step
We are asked to evaluate:
$\log_{4}{64}$
Recall the power property of logarithms (pg. 462):
$\log_b{m^n}=n\log_b{m}$
Using this property, we get:
$\log_{4}{64}=\log_{4}{4^3}=3\log_{4}{4}=3\times 1= 3$
We also used the fact that $\log_{4}{4}=1$ (because $4^1=4$).