Precalculus Examples

$\ln (\frac{k^{5}}{m^{3}})$

Step 1

Rewrite $\ln (\frac{k^{5}}{m^{3}})$ as $\ln (k^{5}) - \ln (m^{3})$ .

$\ln (k^{5}) - \ln (m^{3})$

Step 2

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

$5 \ln (k) - \ln (m^{3})$

Step 3

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

$5 \ln (k) - (3 \ln (m))$

Step 4

Multiply $3$ by $- 1$ .

$5 \ln (k) - 3 \ln (m)$