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convert \\(\\log_{x}81 = 4\\) to exponential form

Question

convert \\(\log_{x}81 = 4\\) to exponential form

Explanation:

Step1: Recall log to exponential rule

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

Step2: Match values to the rule

Here, $b=x$, $a=81$, $c=4$. Substitute into the rule:
$x^4 = 81$

Answer:

$\boldsymbol{x^4=81}$ (corresponding to the blue option)