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

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.
- $$\log x + \log \left( x ^ { 2 } - 144 \right) - \log 7 - \log ( x - 12 )$$

• A) \(\log \frac { x ( x - 144 ) } { 7 ( x - 12 ) }\)
• B) \(\log \frac { 2 x + 12 ) } { 19 - x }\)
• C) \(\log \frac { x ( x + 12 ) } { 7 }\)
• D) \(\log \frac { x ( x - 144 ) ( x - 12 ) } { 7 }\)

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