Evaluate log base 6 of 6^5

$\log_{6} (6^{5})$

Step 1

Use logarithm rules to move $5$ out of the exponent.

$5 \log_{6} (6)$

Step 2

Logarithm base $6$ of $6$ is $1$ .

$5 \cdot 1$

Step 3

Multiply $5$ by $1$ .

$5$

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