Precalculus Examples

$\ln (\frac{x^{7} y^{6}}{3})$

Step 1

Rewrite $\ln (\frac{x^{7} y^{6}}{3})$ as $\ln (x^{7} y^{6}) - \ln (3)$ .

$\ln (x^{7} y^{6}) - \ln (3)$

Step 2

Rewrite $\ln (x^{7} y^{6})$ as $\ln (x^{7}) + \ln (y^{6})$ .

$\ln (x^{7}) + \ln (y^{6}) - \ln (3)$

Step 3

Expand $\ln (x^{7})$ by moving $7$ outside the logarithm.

$7 \ln (x) + \ln (y^{6}) - \ln (3)$

Step 4

Expand $\ln (y^{6})$ by moving $6$ outside the logarithm.

$7 \ln (x) + 6 \ln (y) - \ln (3)$