Trigonometry Examples

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

Step 1

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

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

Step 2

Expand $\ln (e^{5})$ by moving $5$ outside the logarithm.

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

Step 3

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

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

Step 4

Multiply $5$ by $1$ .

$5 + \ln (x)$