Precalculus Examples

$\ln (x^{3} y^{2})$

Step 1

Rewrite $\ln (x^{3} y^{2})$ as $\ln (x^{3}) + \ln (y^{2})$ .

$\ln (x^{3}) + \ln (y^{2})$

Step 2

Expand $\ln (x^{3})$ by moving $3$ outside the logarithm.

$3 \ln (x) + \ln (y^{2})$

Step 3

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

$3 \ln (x) + 2 \ln (y)$