Precalculus Examples

$\frac{1}{4} \cdot \log (2 x + y) - \log (3 x + 2 y)$

Step 1

Simplify $\frac{1}{4} \log (2 x + y)$ by moving $\frac{1}{4}$ inside the logarithm.

$\log ({(2 x + y)}^{\frac{1}{4}}) - \log (3 x + 2 y)$

Step 2

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

$\log (\frac{{(2 x + y)}^{\frac{1}{4}}}{3 x + 2 y})$