Chapter 7 - Exponential and Logarithmic Functions - 7-4 Properties of Logarithms - Practice and Problem-Solving Exercises - Page 468: 94

$3$

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 $4^1=4$).