Precalculus Examples

$\log_{3} (8) + \log_{3} (x) - 2 \log_{3} (x + 4)$

Step 1

Use the product property of logarithms, $\log_{b} (x) + \log_{b} (y) = \log_{b} (x y)$ .

$\log_{3} (8 x) - 2 \log_{3} (x + 4)$

Step 2

Simplify $- 2 \log_{3} (x + 4)$ by moving $2$ inside the logarithm.

$\log_{3} (8 x) - \log_{3} ({(x + 4)}^{2})$

Step 3

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

$\log_{3} (\frac{8 x}{{(x + 4)}^{2}})$