Use Properties of Logarithms to Condense the Logarithmic Expression $5 \log _ { 6 } 5 + \frac { 1 } { 4 } \log _ { 6 } ( r - 2 ) - \frac { 1 } { 2 } \log _ { 6 } r$

question 148

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.
- $5 \log _ { 6 } 5 + \frac { 1 } { 4 } \log _ { 6 } ( r - 2 ) - \frac { 1 } { 2 } \log _ { 6 } r$

• A) \(\log _ { 6 } \frac { 3125 r - 2 } { 8 r }\)
• B) \(\log _ { 6 } \frac { 3125 \sqrt [ 4 ] { \mathrm { r } - 2 } } { \sqrt { \mathrm { r } } }\)
• C) \(\log _ { 6 } \sqrt { \frac { 5 r - 10 } { 8 r } }\)
• D) \(\log _ { 6 } \left( \frac { 5 } { 8 } \sqrt { \frac { r - 2 } { r } } \right)\)

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Rewards that are not immediately given after a desired behavior, which can affect the strength of the learned behavior over time.

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A conditioning schedule in which only a subset of responses is reinforced, leading to more resistant and persistent behavior.