Expand the Logarithmic Expression natural log of x/(3y)

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

Rewrite $\ln (\frac{x}{3 y})$ as $\ln (x) - \ln (3 y)$ .

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

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

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

Apply the distributive property.

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