Expand the Logarithmic Expression natural log of (3r^2)/(r-8)

$\ln (\frac{3 r^{2}}{r - 8})$

Rewrite $\ln (\frac{3 r^{2}}{r - 8})$ as $\ln (3 r^{2}) - \ln (r - 8)$ .

$\ln (3 r^{2}) - \ln (r - 8)$

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

$\ln (3) + \ln (r^{2}) - \ln (r - 8)$

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

$\ln (3) + 2 \ln (r) - \ln (r - 8)$