Precalculus Examples

$\ln (x^{5} y^{3})$

Step 1

Rewrite $\ln (x^{5} y^{3})$ as $\ln (x^{5}) + \ln (y^{3})$ .

$\ln (x^{5}) + \ln (y^{3})$

Step 2

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

$5 \ln (x) + \ln (y^{3})$

Step 3

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

$5 \ln (x) + 3 \ln (y)$