Precalculus Examples

$3 \ln (2 e)$

Step 1

Rewrite $\ln (2 e)$ as $\ln (2) + \ln (e)$ .

$3 (\ln (2) + \ln (e))$

Step 2

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

$3 (\ln (2) + 1)$

Step 3

Apply the distributive property.

$3 \ln (2) + 3 \cdot 1$

Step 4

Multiply $3$ by $1$ .

$3 \ln (2) + 3$

Step 5

The result can be shown in multiple forms.

Exact Form:

$3 \ln (2) + 3$

Decimal Form:

$5.07944154 \dots$

$[\begin{array}{c} x^{2} & \frac{1}{2} \\ \sqrt{π} & \int x d x \end{array}]$