Precalculus Examples

$\ln ({(\frac{e - 2}{e + 2})}^{\frac{4}{5}})$

Step 1

Expand $\ln ({(\frac{e - 2}{e + 2})}^{\frac{4}{5}})$ by moving $\frac{4}{5}$ outside the logarithm.

$\frac{4}{5} \ln (\frac{e - 2}{e + 2})$

Step 2

Combine $\frac{4}{5}$ and $\ln (\frac{e - 2}{e + 2})$ .

$\frac{4 \ln (\frac{e - 2}{e + 2})}{5}$

Step 3

The result can be shown in multiple forms.

Exact Form:

$\frac{4 \ln (\frac{e - 2}{e + 2})}{5}$

Decimal Form:

$- 1.50587038 \dots$