Question

find the value of y.
\log_{2} 32 = y
a. 4
b. 5
c. 6
d. 7

Explanation:

Step1: Recall logarithm definition

The logarithm equation $\log_{a}b = y$ is equivalent to $a^y = b$. So for $\log_{2}32 = y$, we have $2^y = 32$.

Step2: Express 32 as power of 2

We know that $2^5 = 32$ (since $2\times2\times2\times2\times2 = 32$). So comparing $2^y = 2^5$, we get $y = 5$.

Answer:

B. 5