Algebra Examples

$\log_{3} (\frac{1}{9})$

Step 1

Rewrite $\log_{3} (\frac{1}{9})$ as $\log_{3} (1) - \log_{3} (9)$ .

$\log_{3} (1) - \log_{3} (9)$

Step 2

Logarithm base $3$ of $1$ is $0$ .

$0 - \log_{3} (9)$

Step 3

Logarithm base $3$ of $9$ is $2$ .

$0 - 1 \cdot 2$

Step 4

Multiply $- 1$ by $2$ .

$0 - 2$

Step 5

Subtract $2$ from $0$ .

$- 2$