Rewrite the Expression as the Sum And/or Difference of Logarithms $$\log _ { 17 } \frac { 5 \sqrt { x } } { y }$$

question 237

Multiple Choice

Rewrite the expression as the sum and/or difference of logarithms, without using exponents. Simplify if possible.
- $$\log _ { 17 } \frac { 5 \sqrt { x } } { y }$$

• A) \(\log _ { 17 } ( 5 \sqrt { x } ) - \log _ { 17 } y\)
• B) \(\log _ { 17 } y - \log _ { 17 } 5 - \frac { 1 } { 2 } \log _ { 17 } x\)
• C) \(\log _ { 17 } 5 \cdot \frac { 1 } { 2 } \log _ { 17 } \mathrm {~m} \div \log _ { 17 } \mathrm { y }\)
• D) \(\log _ { 17 } 5 + \frac { 1 } { 2 } \log _ { 17 } \mathrm { x } - \log _ { 17 } \mathrm { y }\)

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Definitions:

Perfectly Elastic

Describes a situation in which the quantity demanded or supplied changes by an infinite amount in response to any price change, depicted as a horizontal line on a graph.

Long-run Equilibrium

A state in which all factors of production are variable, leading to a situation where firms only earn normal profits and no incentives exist for entering or exiting the industry.

Short-run Equilibrium

The condition in which the quantity supplied equals the quantity demanded at a particular price level, but only over a short period.

Purely Competitive Firm

A company operating in a market where there are many buyers and sellers, with none being able to influence the market price significantly.