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Use Properties of Logarithms to Condense the Logarithmic Expression 13(log9x+log9y)4log9(x+3)\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.
- 13(log9x+log9y) 4log9(x+3) \frac { 1 } { 3 } ( \log 9 x + \log 9 y ) - 4 \log 9 ( x + 3 )


A) log9xy34(x+3) \log _ { 9 } \frac { \sqrt [ 3 ] { x y } } { 4 ( x + 3 ) }
B) log9x3+y3(x+3) 4\log 9 \frac { \sqrt [ 3 ] { x } + \sqrt [ 3 ] { y } } { ( x + 3 ) ^ { 4 } }
C) log9x+y3(x+3) 4\log _ { 9 } \frac { \sqrt [ 3 ] { x + y } } { ( x + 3 ) ^ { 4 } }
D) log9xy3(x+3) 4\log _ { 9 } \frac { \sqrt [ 3 ] { x y } } { ( x + 3 ) ^ { 4 } }

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