Use the Definition of a Logarithm to Prove

question 4

Multiple Choice

Use the definition of a logarithm to prove . Hint: Let and . Then, and .

• A) Let and so that and . Then and by definition, ; that is .
• B) Let and so that and . Then and by definition, ; that is .
• C) Let and so that and . Then and by definition, ; that is .

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Definitions:

Unconscionable

Refers to actions or terms that are excessively unjust or unreasonable, often to a degree that they violate fairness or ethics.

Supply

The sum of a product or service that can be bought at a specific price.

Land

The surface of the earth and its natural resources, considered a fundamental factor of production in economics.

Usury Laws

Regulations that set the maximum interest rate that can be charged on loans.