Precalculus Examples

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

Step 1

Use the quotient property of logarithms, $\log_{b} (x) - \log_{b} (y) = \log_{b} (\frac{x}{y})$ .

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

Step 2

Multiply the numerator by the reciprocal of the denominator.

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

Step 3

Multiply $3$ by $1$ .

$\log_{3} (3)$

Step 4

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

$1$