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:

Effective Problem-Solving

A process or strategy that involves identifying, analyzing, and resolving issues in a manner that is both efficient and results in the most beneficial outcome.

Inductive Reasoning

The process of making generalized conclusions based on specific observations or facts.

Listening

The act of giving one's attention to sound or someone speaking, often leading to understanding.

Bloom's Taxonomy

A classification system for learning objectives that educators use to design curriculum, instruction, and assessment, ranging from basic knowledge to higher levels of thinking.