Precalculus Examples

$\sqrt{\ln ({(e)}^{144})}$

Step 1

Expand $\ln ({(e)}^{144})$ by moving $144$ outside the logarithm.

$\sqrt{144 \ln (e)}$

Step 2

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

$\sqrt{144 \cdot 1}$

Step 3

Multiply $144$ by $1$ .

$\sqrt{144}$

Step 4

Rewrite $144$ as $12^{2}$ .

$\sqrt{12^{2}}$

Step 5

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

$12$