Precalculus Examples

$\frac{\sqrt{\ln (4)}}{\ln (\sqrt{4})}$

Step 1

Rewrite $4$ as $2^{2}$ .

$\frac{\sqrt{\ln (4)}}{\ln (\sqrt{2^{2}})}$

Step 2

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

$\frac{\sqrt{\ln (4)}}{\ln (2)}$

Step 3

The result can be shown in multiple forms.

Exact Form:

$\frac{\sqrt{\ln (4)}}{\ln (2)}$

Decimal Form:

$1.69864360 \dots$