Precalculus Examples

$\log_{3} (9 x) - \log_{3} (x - 8) \cdot 4$

Step 1

Multiply $- \log_{3} (x - 8) \cdot 4$ .

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Step 1.1

Multiply $4$ by $- 1$ .

$\log_{3} (9 x) - 4 \log_{3} (x - 8)$

Step 1.2

Simplify $- 4 \log_{3} (x - 8)$ by moving $4$ inside the logarithm.

$\log_{3} (9 x) - \log_{3} ({(x - 8)}^{4})$

Step 2

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

$\log_{3} (\frac{9 x}{{(x - 8)}^{4}})$