Question

find the value of y.
\log_{4} 64 = y
a. 3
b. 4
c. 8
d. 16

Explanation:

Step1: Recall logarithm definition

By definition, $\log_{a}b = y$ means $a^y = b$. So for $\log_{4}64 = y$, we have $4^y = 64$.

Step2: Express 64 as power of 4

We know that $4^3 = 4\times4\times4 = 64$. So comparing with $4^y = 64$, we get $y = 3$.

Answer:

A. 3