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Condense the Expression to the Logarithm of a Single Quantity 12[log⁡9(x+6)+2log⁡9(x−6)]−12log⁡9x\frac { 1 } { 2 } \left[ \log _ { 9 } ( x + 6 ) + 2 \log _ { 9 } ( x - 6 ) \right] - 12 \log _ { 9 } x

Question 16

Multiple Choice

Condense the expression to the logarithm of a single quantity.? 12[log⁡9(x+6) +2log⁡9(x−6) ]−12log⁡9x\frac { 1 } { 2 } \left[ \log _ { 9 } ( x + 6 ) + 2 \log _ { 9 } ( x - 6 ) \right] - 12 \log _ { 9 } x ?


A) log⁡9(x+6) x−6x6\log _ { 9 } \frac { ( x + 6 ) \sqrt { x - 6 } } { x ^ { 6 } }
B) log⁡9x12x−6(x+6) \log _ { 9 } \frac { x ^ { 12 } \sqrt { x - 6 } } { ( x + 6 ) }
C) log⁡9x6x−6(x+6) \log _ { 9 } \frac { x ^ { 6 } \sqrt { x - 6 } } { ( x + 6 ) }
D) log⁡9x12x+6(x−6) \log _ { 9 } \frac { x ^ { 12 } \sqrt { x + 6 } } { ( x - 6 ) }
E) log⁡9(x−6) x+6x12\log _ { 9 } \frac { ( x - 6 ) \sqrt { x + 6 } } { x ^ { 12 } }

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