Question

if \\(log_{4} x = 12\\), then \\(x = ?\\)

Explanation:

Step1: Convert log to exponential form

Recall $\log_b a = c \iff a = b^c$. Here, $b=4$, $c=12$, so:
$x = 4^{12}$

Step2: Calculate the exponential value

$4^{12} = (2^2)^{12} = 2^{24} = 16777216$

Answer:

$16777216$