Rewrite the Expression as the Sum And/or Difference of Logarithms $\log _ { 2 } \frac { x ^ { 8 } y ^ { 7 } } { 5 }$

question 137

Multiple Choice

Rewrite the expression as the sum and/or difference of logarithms, without using exponents. Simplify if possible.
- $\log _ { 2 } \frac { x ^ { 8 } y ^ { 7 } } { 5 }$

• A) \(8 \log _ { 2 } x - 7 \log _ { 2 } y - \log _ { 2 } 5\)
• B) \(8 \log _ { 2 } x + 7 \log _ { 2 } y - \log _ { 2 } 5\)
• C) \(\left( 8 \log _ { 2 } x \right) \left( 7 \log _ { 2 } y \right) - \log _ { 2 } 5\)
• D) \(8 \log _ { 2 } x + 7 \log _ { 2 } y + \log _ { 2 } 5\)

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Definitions:

Bile

A digestive fluid produced by the liver and stored in the gallbladder, involved in the emulsification and absorption of fats in the small intestine.

Functions

The natural purpose or activities specific to a person, organ, system, or entity.

Liver

A vital organ in vertebrates responsible for detoxification, protein synthesis, and the production of biochemicals necessary for digestion, among other functions.

Seven

A number; not a biological science key-term.