Precalculus Examples

$\ln (\frac{1}{e^{22}})$

Step 1

Move $e^{22}$ to the numerator using the negative exponent rule $\frac{1}{b^{n}} = b^{- n}$ .

$\ln (e^{- 22})$

Step 2

Expand $\ln (e^{- 22})$ by moving $- 22$ outside the logarithm.

$- 22 \ln (e)$

Step 3

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

$- 22 \cdot 1$

Step 4

Multiply $- 22$ by $1$ .

$- 22$