Precalculus Examples

$\log_{x} (y z^{9})$

Step 1

Rewrite $\log_{x} (y z^{9})$ as $\log_{x} (y) + \log_{x} (z^{9})$ .

$\log_{x} (y) + \log_{x} (z^{9})$

Step 2

Expand $\log_{x} (z^{9})$ by moving $9$ outside the logarithm.

$\log_{x} (y) + 9 \log_{x} (z)$