Find the Exact Value log base 3 of 3^64

$\log_{3} (3^{64})$

Step 1

Use logarithm rules to move $64$ out of the exponent.

$64 \log_{3} (3)$

Step 2

Logarithm base $3$ of $3$ is $1$ .

$64 \cdot 1$

Step 3

Multiply $64$ by $1$ .

$64$

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