Precalculus Examples

$2 \log_{8} (y + 4) (\log_{8} (w) - 5 \log_{8} (z))$

Step 1

Simplify $2 \log_{8} (y + 4)$ by moving $2$ inside the logarithm.

$\log_{8} ({(y + 4)}^{2}) (\log_{8} (w) - 5 \log_{8} (z))$

Step 2

Simplify $- 5 \log_{8} (z)$ by moving $5$ inside the logarithm.

$\log_{8} ({(y + 4)}^{2}) (\log_{8} (w) - \log_{8} (z^{5}))$

Step 3

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

$\log_{8} ({(y + 4)}^{2}) \log_{8} (\frac{w}{z^{5}})$