Precalculus Examples

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

Step 1

Simplify $- 3 \log_{3} (x - 1)$ by moving $3$ inside the logarithm.

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

Step 2

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

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