Expand the Logarithmic Expression natural log of 3xy^3

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

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

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

Rewrite $\ln (3 x)$ as $\ln (3) + \ln (x)$ .

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

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

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