Precalculus Examples

$\log_{3} (\frac{1}{3^{3}})$

Step 1

Move $3^{3}$ to the numerator using the negative exponent rule $\frac{1}{b^{n}} = b^{- n}$ .

$\log_{3} (3^{- 3})$

Step 2

Expand $\log_{3} (3^{- 3})$ by moving $- 3$ outside the logarithm.

$- 3 \log_{3} (3)$

Step 3

Logarithm base $3$ of $3$ is $1$ .

$- 3 \cdot 1$

Step 4

Multiply $- 3$ by $1$ .

$- 3$