Precalculus Examples

$\ln (e^{\frac{3}{7}})$

Step 1

Expand $\ln (e^{\frac{3}{7}})$ by moving $\frac{3}{7}$ outside the logarithm.

$\frac{3}{7} \ln (e)$

Step 2

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

$\frac{3}{7} \cdot 1$

Step 3

Multiply $\frac{3}{7}$ by $1$ .

$\frac{3}{7}$

Step 4

The result can be shown in multiple forms.

Exact Form:

$\frac{3}{7}$

Decimal Form:

$0.\overline{428571}$