Evaluate log base 4 of 4^8

$\log_{4} (4^{8})$

Step 1

Use logarithm rules to move $8$ out of the exponent.

$8 \log_{4} (4)$

Step 2

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

$8 \cdot 1$

Step 3

Multiply $8$ by $1$ .

$8$

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