Precalculus Examples

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

Step 1

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

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

Step 2

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

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

Step 3

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

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

Step 4

Multiply $b$ by $1$ .

$\ln (5) + b$