Calculus Examples

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

Step 1

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

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

Step 2

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

$\sqrt{2} \cdot 1$

Step 3

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

$\sqrt{2}$

Step 4

The result can be shown in multiple forms.

Exact Form:

$\sqrt{2}$

Decimal Form:

$1.41421356 \dots$