Precalculus Examples

$3 \ln (e^{x + 5})$

Step 1

Use logarithm rules to move $x + 5$ out of the exponent.

$3 ((x + 5) \ln (e))$

Step 2

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

$3 ((x + 5) \cdot 1)$

Step 3

Multiply $x + 5$ by $1$ .

$3 (x + 5)$

Step 4

Apply the distributive property.

$3 x + 3 \cdot 5$

Step 5

Multiply $3$ by $5$ .

$3 x + 15$