Precalculus Examples

$\sqrt{\ln (e^{49})}$

Step 1

Expand $\ln (e^{49})$ by moving $49$ outside the logarithm.

$\sqrt{49 \ln (e)}$

Step 2

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

$\sqrt{49 \cdot 1}$

Step 3

Multiply $49$ by $1$ .

$\sqrt{49}$

Step 4

Rewrite $49$ as $7^{2}$ .

$\sqrt{7^{2}}$

Step 5

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

$7$