Write as a Single Logarithm log base 3 of 4+ log base 3 of y+ log base 3 of 8x

$\log_{3} (4) + \log_{3} (y) + \log_{3} (8 x)$

Use the product property of logarithms, $\log_{b} (x) + \log_{b} (y) = \log_{b} (x y)$ .

$\log_{3} (4 y) + \log_{3} (8 x)$

Use the product property of logarithms, $\log_{b} (x) + \log_{b} (y) = \log_{b} (x y)$ .

$\log_{3} (4 y (8 x))$

Rewrite using the commutative property of multiplication.

$\log_{3} (4 \cdot 8 y x)$

Multiply $4$ by $8$ .

$\log_{3} (32 y x)$