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Use Properties of Logarithms to Condense the Logarithmic Expression logx+log(x2144)log7log(x12)\log x + \log \left( x ^ { 2 } - 144 \right) - \log 7 - \log ( x - 12 )

Question 61

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.
- logx+log(x2144) log7log(x12) \log x + \log \left( x ^ { 2 } - 144 \right) - \log 7 - \log ( x - 12 )


A) logx(x144) 7(x12) \log \frac { x ( x - 144 ) } { 7 ( x - 12 ) }
B) log2x+12) 19x\log \frac { 2 x + 12 ) } { 19 - x }
C) logx(x+12) 7\log \frac { x ( x + 12 ) } { 7 }
D) logx(x144) (x12) 7\log \frac { x ( x - 144 ) ( x - 12 ) } { 7 }

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