Precalculus Examples

$\ln (\frac{x + 4}{e^{9 x}})$

Step 1

Rewrite $\ln (\frac{x + 4}{e^{9 x}})$ as $\ln (x + 4) - \ln (e^{9 x})$ .

$\ln (x + 4) - \ln (e^{9 x})$

Step 2

Expand $\ln (e^{9 x})$ by moving $9 x$ outside the logarithm.

$\ln (x + 4) - (9 x \ln (e))$

Step 3

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

$\ln (x + 4) - (9 x \cdot 1)$

Step 4

Multiply $9$ by $1$ .

$\ln (x + 4) - (9 x)$

Step 5

Multiply $9$ by $- 1$ .

$\ln (x + 4) - 9 x$