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

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.
- $\log x + \log \left( x ^ { 2 } - 25 \right) - \log 8 - \log ( x - 5 )$

• A) \(\log \frac { x ( x + 5 ) } { 8 }\)
• B) \(\log \frac { x ( x - 25 ) } { 8 ( x - 5 ) }\)
• C) \(\log \frac { x ( x - 25 ) ( x - 5 ) } { 8 }\)
• D) \(\log \frac { 2 x + 5 ) } { 13 - x }\)

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