Precalculus Examples

$\ln (e^{\sqrt{2}})$

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

$\sqrt{2} \ln (e)$

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

$\sqrt{2} \cdot 1$

Multiply $\sqrt{2}$ by $1$ .

$\sqrt{2}$

The result can be shown in multiple forms.

Exact Form:

$\sqrt{2}$

Decimal Form:

$1.41421356 \dots$