Calculus Examples

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

Step 1

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

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

Step 2

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

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

Step 3

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

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

Step 4

Multiply $5$ by $- 1$ .

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