Precalculus Examples

$\ln (\frac{5 x^{3}}{y})$

Step 1

Rewrite $\ln (\frac{5 x^{3}}{y})$ as $\ln (5 x^{3}) - \ln (y)$ .

$\ln (5 x^{3}) - \ln (y)$

Step 2

Rewrite $\ln (5 x^{3})$ as $\ln (5) + \ln (x^{3})$ .

$\ln (5) + \ln (x^{3}) - \ln (y)$

Step 3

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

$\ln (5) + 3 \ln (x) - \ln (y)$