Use Properties of Logarithms to Condense the Logarithmic Expression $$\frac { 1 } { 3 } ( \log 9 x + \log 9 y ) - 4 \log 9 ( x + 3 )$$

question 21

Multiple Choice

Use properties of logarithms to condense the logarithmic expression. Write the expression as a single logarithm whose coefficient is 1. Where possible, evaluate logarithmic expressions.
- $$\frac { 1 } { 3 } ( \log 9 x + \log 9 y ) - 4 \log 9 ( x + 3 )$$

• A) \(\log _ { 9 } \frac { \sqrt [ 3 ] { x y } } { 4 ( x + 3 ) }\)
• B) \(\log 9 \frac { \sqrt [ 3 ] { x } + \sqrt [ 3 ] { y } } { ( x + 3 ) ^ { 4 } }\)
• C) \(\log _ { 9 } \frac { \sqrt [ 3 ] { x + y } } { ( x + 3 ) ^ { 4 } }\)
• D) \(\log _ { 9 } \frac { \sqrt [ 3 ] { x y } } { ( x + 3 ) ^ { 4 } }\)

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