Rewrite as a Single Logarithm $4 \log ( x + 3 ) - 9 \log \left( x ^ { 2 } + 4 \right) + \frac { 1 } { 3 } \log y$

question 91

Multiple Choice

Rewrite as a single logarithm. Assume all variables represent positive real numbers.
- $4 \log ( x + 3 ) - 9 \log \left( x ^ { 2 } + 4 \right) + \frac { 1 } { 3 } \log y$

• A) \(- \frac { 14 } { 3 } \log \frac { ( x + 3 ) y } { x ^ { 2 } + 4 }\)
• B) \(12 \log \frac { ( x + 3 ) \left( x ^ { 2 } + 4 \right) } { y }\)
• C) \(\log \frac { ( x + 3 ) ^ { 4 } \sqrt [ 3 ] { y } } { \left( x ^ { 2 } + 4 \right) ^ { 9 } }\)
• D) \(\log \frac { ( x + 3 ) ^ { 4 } \left( x ^ { 2 } + 4 \right) ^ { 9 } } { \sqrt [ 3 ] { y } }\)

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