Precalculus Examples

$\ln (\frac{1}{e^{7}})$

Step 1

Move $e^{7}$ to the numerator using the negative exponent rule $\frac{1}{b^{n}} = b^{- n}$ .

$\ln (e^{- 7})$

Step 2

Expand $\ln (e^{- 7})$ by moving $- 7$ outside the logarithm.

$- 7 \ln (e)$

Step 3

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

$- 7 \cdot 1$

Step 4

Multiply $- 7$ by $1$ .

$- 7$