Write the Exponential Equation in Logarithmic Form $4 ^ { - 2 } = \frac { 1 } { 16 }$

question 19

Multiple Choice

Write the exponential equation in logarithmic form. $4 ^ { - 2 } = \frac { 1 } { 16 }$

• A) \(\log _ { 16 } \frac { 1 } { 4 } = - 2\)
• B) \(\log _ { 4 } \frac { 1 } { 16 } = 2\)
• C) \(\log _ { 4 } 16 = 2\)
• D) \(\log _ { 4 } \frac { 1 } { 16 } = - 2\)
• E) \(\log _ { 4 } 16 = - 2\)

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Definitions:

Pareto Efficient

A condition in which no individual's situation can be improved without worsening the situation of another individual.

Public Good

A product or service that is provided without profit to all members of a society, either by the government or a private individual or organization.

Private Good

A product or service that is consumed by an individual and cannot be used or consumed by others once it is purchased.

Pareto Optimal

Pareto optimal describes a state in an economic system where it’s impossible to make any one individual better off without making at least one individual worse off, indicating an efficiency in resource allocation.