Precalculus Examples

$\ln (\sqrt[6]{e^{2}})$

Step 1

Rewrite $\sqrt[6]{e^{2}}$ as $\sqrt[3]{\sqrt{e^{2}}}$ .

$\ln (\sqrt[3]{\sqrt{e^{2}}})$

Step 2

Pull terms out from under the radical, assuming positive real numbers.

$\ln (\sqrt[3]{e})$

Step 3

The result can be shown in multiple forms.

Exact Form:

$\ln (\sqrt[3]{e})$

Decimal Form:

$0.\overline{3}$