Precalculus Examples

$\log_{5} (8 x) - 2 \log_{5} (x + 6)$

Step 1

Simplify $- 2 \log_{5} (x + 6)$ by moving $2$ inside the logarithm.

$\log_{5} (8 x) - \log_{5} ({(x + 6)}^{2})$

Step 2

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

$\log_{5} (\frac{8 x}{{(x + 6)}^{2}})$