Use Properties of Logarithms to Condense the Logarithmic Expression $$\frac { 1 } { 5 } \left[ 5 \ln ( x + 1 ) - \ln x - \ln \left( x ^ { 2 } - 1 \right) \right]$$

question 235

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.
- $$\frac { 1 } { 5 } \left[ 5 \ln ( x + 1 ) - \ln x - \ln \left( x ^ { 2 } - 1 \right) \right]$$

• A) \(\ln \sqrt [ 5 ] { \frac { ( x + 1 ) ^ { 5 } } { x \left( x ^ { 2 } - 1 \right) } }\)
• B) \(\ln \sqrt [ 5 ] { \frac { ( x + 1 ) ^ { 5 } \left( x ^ { 2 } - 1 \right) } { x } }\)
• C) \(\ln \sqrt [ 5 ] { \frac { 5 ( x + 1 ) } { x \left( x ^ { 2 } - 1 \right) } }\)
• D) \(\ln \sqrt [ 5 ] { \frac { x ( x + 1 ) ^ { 5 } } { \left( x ^ { 2 } - 1 \right) } }\)

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Definitions:

Logical

Relating to the correct use of reason in thinking or inference; coherent and consistent.

Rhetorical Situation

The context of a rhetorical act, made up of a rhetor, an audience, a message, and the purpose for communication.

Specific Author

An individual writer or creator who is identified by name.