Precalculus Examples

$2 \ln (e^{3}) - 6 \ln (x + 4)$

Step 1

Use logarithm rules to move $3$ out of the exponent.

$2 (3 \ln (e)) - 6 \ln (x + 4)$

Step 2

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

$2 (3 \cdot 1) - 6 \ln (x + 4)$

Step 3

Multiply $3$ by $1$ .

$2 \cdot 3 - 6 \ln (x + 4)$

Step 4

Multiply $2$ by $3$ .

$6 - 6 \ln (x + 4)$

Step 5

Simplify $- 6 \ln (x + 4)$ by moving $6$ inside the logarithm.

$6 - \ln ({(x + 4)}^{6})$