Precalculus Examples

$\ln (\frac{x^{2} - 4}{x^{6}})$

Step 1

Rewrite $\ln (\frac{x^{2} - 4}{x^{6}})$ as $\ln (x^{2} - 4) - \ln (x^{6})$ .

$\ln (x^{2} - 4) - \ln (x^{6})$

Step 2

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

$\ln (x^{2} - 4) - (6 \ln (x))$

Step 3

Multiply $6$ by $- 1$ .

$\ln (x^{2} - 4) - 6 \ln (x)$