Use Properties of Logarithms to Expand the Logarithmic Expression as Much

question 155

Multiple Choice

Use properties of logarithms to expand the logarithmic expression as much as possible. Where possible, evaluate
logarithmic expressions without using a calculator.
- $\log _ { 6 } \sqrt [ 5 ] { \frac { x ^ { 2 } y } { 36 } }$

• A) \(\frac { 2 } { 5 } \log _ { 6 } x + \frac { 1 } { 5 } \log _ { 6 } y - \frac { 2 } { 5 }\)
• B) \(\frac { 1 } { 5 } \left( \log _ { 6 } x ^ { 2 } + \log _ { 6 } y - 2 \right)\)
• C) \(\frac { 1 } { 5 } \left( \log _ { 6 } x ^ { 2 } y - \log _ { 6 } 36 \right)\)
• D) \(\frac { 2 } { 5 } \log _ { 6 } x - \frac { 1 } { 5 } \log 6 y + \frac { 2 } { 5 }\)

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Adolescence

The transitional stage from childhood to adulthood, characterized by physical, psychological, and social changes.

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The condition in which an ecosystem is capable of maintaining its structure and functional processes over time, despite disturbances.

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The transformations in cognitive abilities, including learning, reasoning, problem-solving, and creativity, that occur over a person's lifetime.