Evaluate log base 5 of 5^7

$\log_{5} (5^{7})$

Step 1

Use logarithm rules to move $7$ out of the exponent.

$7 \log_{5} (5)$

Step 2

Logarithm base $5$ of $5$ is $1$ .

$7 \cdot 1$

Step 3

Multiply $7$ by $1$ .

$7$

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