Use Properties of Logarithms to Condense the Logarithmic Expression $\frac { 1 } { 3 } \left( \log _ { 4 } x + \log _ { 4 } y \right)$

question 174

Multiple Choice

Use properties of logarithms to condense the logarithmic expression. Write the expression as a single logarithm whose coefficient is 1. Where possible, evaluate logarithmic expressions.
- $\frac { 1 } { 3 } \left( \log _ { 4 } x + \log _ { 4 } y \right)$

• A) \(\sqrt [ 3 ] { \log _ { 4 } ( x y ) }\)
• B) \(\log _ { 4 } \sqrt [ 3 ] { x + y }\)
• C) \(\log _ { 4 } \sqrt [ 3 ] { x } + \log _ { 4 } \sqrt [ 3 ] { y }\)
• D) \(\log _ { 4 } \sqrt [ 3 ] { x y }\)

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Definitions:

Marginal Revenue

The increased earnings from the sale of one extra unit of a good or service.

Average Revenue

The total revenue earned by a firm per unit of output sold.

Competitive Market

A market structure characterized by a large number of buyers and sellers, where no single entity controls the market price.

Marginal Cost

Marginal cost is the change in total cost that arises when the quantity produced changes by one unit. It's pivotal in decision-making processes regarding increasing or decreasing production.