Question

rewrite the equation \\(\log_{2}(13x) = 3\\) in exponential form.

Explanation:

Step1: Recall log to exponential rule

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

Step2: Apply rule to given equation

Here, $b=2$, $a=13x$, $c=3$. Substitute into rule:
$2^3 = 13x$

Answer:

$2^3 = 13x$