Precalculus Examples

$\ln (\frac{1}{e^{4}})$

Step 1

Move $e^{4}$ to the numerator using the negative exponent rule $\frac{1}{b^{n}} = b^{- n}$ .

$\ln (e^{- 4})$

Step 2

Expand $\ln (e^{- 4})$ by moving $- 4$ outside the logarithm.

$- 4 \ln (e)$

Step 3

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

$- 4 \cdot 1$

Step 4

Multiply $- 4$ by $1$ .

$- 4$