Precalculus Examples

$\ln (a^{2} b^{5})$

Step 1

Rewrite $\ln (a^{2} b^{5})$ as $\ln (a^{2}) + \ln (b^{5})$ .

$\ln (a^{2}) + \ln (b^{5})$

Step 2

Expand $\ln (a^{2})$ by moving $2$ outside the logarithm.

$2 \ln (a) + \ln (b^{5})$

Step 3

Expand $\ln (b^{5})$ by moving $5$ outside the logarithm.

$2 \ln (a) + 5 \ln (b)$