Expand log base 3 of 1/3

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

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

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

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

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

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

$0 - 1 \cdot 1$

Multiply $- 1$ by $1$ .

$0 - 1$

Subtract $1$ from $0$ .

$- 1$

Expand log base 3 of 1/3

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