Precalculus Examples

$\log_{4} (2 x) - 2 \log_{4} (y)$

Step 1

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

$\log_{4} (2 x) - \log_{4} (y^{2})$

Step 2

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

$\log_{4} (\frac{2 x}{y^{2}})$