Evaluate log base 4 of (4)^2

$\log_{4} ({(4)}^{2})$

Use logarithm rules to move $2$ out of the exponent.

$2 \log_{4} (4)$

Logarithm base $4$ of $4$ is $1$ .

$2 \cdot 1$

Multiply $2$ by $1$ .

$2$

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