Calculus Examples

$\ln (3 e^{2})$

Step 1

Rewrite $\ln (3 e^{2})$ as $\ln (3) + \ln (e^{2})$ .

$\ln (3) + \ln (e^{2})$

Step 2

Use logarithm rules to move $2$ out of the exponent.

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

Step 3

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

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

Step 4

Multiply $2$ by $1$ .

$\ln (3) + 2$

Step 5

The result can be shown in multiple forms.

Exact Form:

$\ln (3) + 2$

Decimal Form:

$3.09861228 \dots$