Simplify/Condense log base 3 of 2x-5 log base 3 of y

$\log_{3} (2 x) - 5 \log_{3} (y)$

Step 1

Simplify $- 5 \log_{3} (y)$ by moving $5$ inside the logarithm.

$\log_{3} (2 x) - \log_{3} (y^{5})$

Step 2

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

$\log_{3} (\frac{2 x}{y^{5}})$