Use Properties of Logarithms to Condense the Logarithmic Expression $$\frac { 1 } { 6 } \left[ 3 \ln ( x + 7 ) - \ln x - \ln \left( x ^ { 2 } - 4 \right) \right]$$

question 22

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.
- $$\frac { 1 } { 6 } \left[ 3 \ln ( x + 7 ) - \ln x - \ln \left( x ^ { 2 } - 4 \right) \right]$$

• A) \(\ln \sqrt [ 6 ] { \frac { ( x + 7 ) ^ { 3 } } { x \left( x ^ { 2 } - 4 \right) } }\)
• B) \(\ln \sqrt [ 6 ] { \frac { ( x + 7 ) ^ { 3 } \left( x ^ { 2 } - 4 \right) } { x } }\)
• C) \(\ln \sqrt [ 6 ] { \frac { 3 ( x + 7 ) } { x \left( x ^ { 2 } - 4 \right) } }\)
• D) \(\ln \sqrt [ 6 ] { \frac { x ( x + 7 ) ^ { 3 } } { \left( x ^ { 2 } - 4 \right) } }\)

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