Use Properties of Logarithms to Expand the Logarithmic Expression as Much

question 187

Multiple Choice

Use properties of logarithms to expand the logarithmic expression as much as possible.
- $\log _ { 8 } \sqrt { \frac { x y } { 15 } }$

• A) \(\frac { 1 } { 2 } \log _ { 8 } x y - \frac { 1 } { 2 } \log _ { 8 } 15\)
• B) \(\frac { 1 } { 2 } \log _ { 8 } x + \frac { 1 } { 2 } \log _ { 8 } y - \frac { 1 } { 2 } \log _ { 8 } 15\)
• C) \(\frac { 1 } { 2 } \log _ { 8 } x * \frac { 1 } { 2 } \log _ { 8 } y \div \frac { 1 } { 2 } \log _ { 8 } 15\)
• D) \(\frac { 1 } { 2 } \log _ { 8 } x + \frac { 1 } { 2 } \log _ { 8 } y - \log _ { 8 } 15\)

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Definitions:

Physical Activity

refers to any bodily movement produced by skeletal muscles that require energy expenditure, including activities undertaken while working, playing, carrying out household chores, travelling, and engaging in recreational pursuits.

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An ongoing concern about falling that can lead to avoiding activities believed to increase the risk of falling.

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The amount of mineralized bone tissue in the body, critical for supporting structures, mobility, and overall health.

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The end of menstruation and a woman’s reproductive capacity.