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Use Properties of Logarithms to Condense the Logarithmic Expression logx+log(x225)log8log(x5)\log x + \log \left( x ^ { 2 } - 25 \right) - \log 8 - \log ( x - 5 )

Question 67

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(x225) log8log(x5) \log x + \log \left( x ^ { 2 } - 25 \right) - \log 8 - \log ( x - 5 )


A) logx(x+5) 8\log \frac { x ( x + 5 ) } { 8 }
B) logx(x25) 8(x5) \log \frac { x ( x - 25 ) } { 8 ( x - 5 ) }
C) logx(x25) (x5) 8\log \frac { x ( x - 25 ) ( x - 5 ) } { 8 }
D) log2x+5) 13x\log \frac { 2 x + 5 ) } { 13 - x }

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