Precalculus Examples

$\ln ({(\frac{e - 1}{e + 1})}^{\frac{3}{2}})$

Step 1

Expand $\ln ({(\frac{e - 1}{e + 1})}^{\frac{3}{2}})$ by moving $\frac{3}{2}$ outside the logarithm.

$\frac{3}{2} \ln (\frac{e - 1}{e + 1})$

Step 2

Combine $\frac{3}{2}$ and $\ln (\frac{e - 1}{e + 1})$ .

$\frac{3 \ln (\frac{e - 1}{e + 1})}{2}$

Step 3

The result can be shown in multiple forms.

Exact Form:

$\frac{3 \ln (\frac{e - 1}{e + 1})}{2}$

Decimal Form:

$- 1.15790524 \dots$