Question

solve for x, $\log_4 x = 2$
options: $x = 12$, $x = 16$, $x = 4$

Explanation:

Step1: Convert log to exponential form

Recall $\log_b a = c \iff a = b^c$. Here, $b=4$, $c=2$, so $x = 4^2$

Step2: Calculate the exponential value

$4^2 = 4 \times 4 = 16$

Answer:

x = 16