Precalculus Examples

$\log_{6} (y) - 2 \log_{6} (z)$

Step 1

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

$\log_{6} (y) - \log_{6} (z^{2})$

Step 2

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

$\log_{6} (\frac{y}{z^{2}})$