Question

rewrite $log_{2}8 = 3$ in exponential form
$3^{2} = 8$
$2^{8} = 3$
$2^{3} = 8$
$8^{3} = 2$

Explanation:

Step1: Recall log-exponential conversion rule

For $\log_b a = c$, exponential form is $b^c = a$

Step2: Match values to the rule

Here, $b=2$, $a=8$, $c=3$

Step3: Substitute into exponential form

$2^3 = 8$

Answer:

C. $2^3 = 8$