Precalculus Examples

$\log ({(13 z)}^{6})$

Step 1

Expand $\log ({(13 z)}^{6})$ by moving $6$ outside the logarithm.

$6 \log (13 z)$

Step 2

Rewrite $\log (13 z)$ as $\log (13) + \log (z)$ .

$6 (\log (13) + \log (z))$

Step 3

Apply the distributive property.

$6 \log (13) + 6 \log (z)$