Precalculus Examples

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

Step 1

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

$\frac{2}{3} \ln (e)$

Step 2

The natural logarithm of $e$ is $1$ .

$\frac{2}{3} \cdot 1$

Step 3

Multiply $\frac{2}{3}$ by $1$ .

$\frac{2}{3}$

Step 4

The result can be shown in multiple forms.

Exact Form:

$\frac{2}{3}$

Decimal Form:

$0.\overline{6}$