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

question 39

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) \(\log _ { 4 } 1 + 9 \log _ { 4 } x + \log _ { 4 } y\)

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