Precalculus Examples

$\sqrt{\ln (e^{9})}$

Step 1

Use logarithm rules to move $9$ out of the exponent.

$\sqrt{9 \ln (e)}$

Step 2

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

$\sqrt{9 \cdot 1}$

Step 3

Multiply $9$ by $1$ .

$\sqrt{9}$

Step 4

Rewrite $9$ as $3^{2}$ .

$\sqrt{3^{2}}$

Step 5

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

$3$