Precalculus Examples

$5 \log_{37} ({(37)}^{9})$

Step 1

Use logarithm rules to move $9$ out of the exponent.

$5 (9 \log_{37} (37))$

Step 2

Logarithm base $37$ of $37$ is $1$ .

$5 (9 \cdot 1)$

Step 3

Multiply $9$ by $1$ .

$5 \cdot 9$

Step 4

Multiply $5$ by $9$ .

$45$