Precalculus Examples

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

Step 1

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

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

Step 2

Rewrite $\ln (x y)$ as $\ln (x) + \ln (y)$ .

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

Step 3

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

$\ln (x) + \ln (y) + 9 \ln (z)$