Use the Properties of Logarithms to Expand $\ln \sqrt { \frac { 2 x } { x - 6 } }$

question 114

Multiple Choice

Use the properties of logarithms to expand $\ln \sqrt { \frac { 2 x } { x - 6 } }$ .

• A) \(( \ln 2 + \ln x - \ln ( x - 6 ) ) ^ { 1 / 2 }\)
• B) \(\left( \frac { \ln 2 \cdot \ln x } { \ln x - \ln 6 } \right) ^ { 1 / 2 }\)
• C) \(\frac { 1 } { 2 } \left( \ln 2 + \ln x - \frac { \ln x } { \ln 6 } \right)\)
• D) \(\frac { 1 } { 2 } ( \ln 2 + \ln x - \ln ( x - 6 ) )\)
• E) \(\frac { 1 } { 2 } \ln 2 + \ln x - \ln ( x - 6 )\)

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Definitions:

Primary

Referring to something that is first in order, importance, or rank.

Secondary Reinforcers

Reinforcements that are learned through association with primary reinforcers and are not necessarily satisfying by themselves (e.g., praise, money).

Thorndike

An American psychologist known for his work in the field of learning theory that lead to the development of operant conditioning within behaviorism.

Reinforcement

A process in operant conditioning where a behavior is encouraged or strengthened by a consequence that follows it.