Precalculus Examples

$\ln (5 e^{6})$

Step 1

Rewrite $\ln (5 e^{6})$ as $\ln (5) + \ln (e^{6})$ .

$\ln (5) + \ln (e^{6})$

Step 2

Expand $\ln (e^{6})$ by moving $6$ outside the logarithm.

$\ln (5) + 6 \ln (e)$

Step 3

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

$\ln (5) + 6 \cdot 1$

Step 4

Multiply $6$ by $1$ .

$\ln (5) + 6$