Use the Properties of Logarithms to Write the Expression $\log _ { 4 } \frac { 4 x ^ { 9 } } { y }$

Multiple Choice

Use the properties of logarithms to write the expression $\log _ { 4 } \frac { 4 x ^ { 9 } } { y }$ as a sum, difference, or multiple of logarithms. Assume x and y are positive numbers. Simplify if possible.

A) $1 + \log _ { 4 } 9 x - \log _ { 4 } y$
B) $1 + 9 \log _ { 4 } x - \log _ { 4 } y$
C) $\log _ { 4 } 36 + \log _ { 4 } x - \log _ { 4 } y$
D) $\log _ { 4 } 1 + 9 \log _ { 4 } x + \log _ { 4 } y$