Expand the Logarithmic Expression natural log of (x^3)/(y^2)

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

Step 1

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

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

Step 4

Multiply $2$ by $- 1$ .

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