Precalculus Examples

$\ln (e^{14} z)$

Step 1

Rewrite $\ln (e^{14} z)$ as $\ln (e^{14}) + \ln (z)$ .

$\ln (e^{14}) + \ln (z)$

Step 2

Use logarithm rules to move $14$ out of the exponent.

$14 \ln (e) + \ln (z)$

Step 3

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

$14 \cdot 1 + \ln (z)$

Step 4

Multiply $14$ by $1$ .

$14 + \ln (z)$