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:

Sugar

A generic name for sweet-tasting, soluble carbohydrates, many of which are used in food.

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A laboratory technique for the separation of a mixture by passing it through a medium in which the components move at different rates.

Evaporation

The process by which a liquid changes into a gas, typically below its boiling point, at the surface of the liquid.

Filtering

A process of separating solids from liquids or gases using a medium that allows only the fluid to pass through.