Precalculus Examples

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

Step 1

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

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

Step 2

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

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

Step 3

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

$2 \cdot 1 + \ln (x^{3})$

Step 4

Multiply $2$ by $1$ .

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