Precalculus Examples

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

Step 1

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

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

Step 2

Expand $\ln (x^{3})$ by moving $3$ outside the logarithm.

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

Step 3

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

$1 + 3 \ln (x)$