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Express as the Logarithm of a Single Expression 3log3x+16log3x2log3(x+1)3 \log _ { 3 } x + \frac { 1 } { 6 } \log _ { 3 } x - 2 \log _ { 3 } ( x + 1 )

Question 246

Multiple Choice

Express as the logarithm of a single expression. Assume that variables represent positive numbers.
- 3log3x+16log3x2log3(x+1) 3 \log _ { 3 } x + \frac { 1 } { 6 } \log _ { 3 } x - 2 \log _ { 3 } ( x + 1 )


A) log3x19/62(x+1) \log _ { 3 } \frac { \mathrm { x } ^ { 19 / 6 } } { 2 ( \mathrm { x } + 1 ) }
B) 196log3x(x+1) 2\frac { 19 } { 6 } \log _ { 3 } \frac { x } { ( x + 1 ) ^ { 2 } }
C) log3x19/6(x+1) 2\log _ { 3 } \frac { x ^ { 19 / 6 } } { ( x + 1 ) ^ { 2 } }
D) log3(196x2(x+1) ) \log _ { 3 } \left( \frac { \frac { 19 } { 6 } x } { 2 ( x + 1 ) } \right)

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