Write as an Exponential Equation $$\log _ { 3 } \frac { 1 } { 27 } = - 3$$

question 251

Multiple Choice

Write as an exponential equation.
- $$\log _ { 3 } \frac { 1 } { 27 } = - 3$$

• A) \(3 ^ { 3 } = \frac { 1 } { 27 }\)
• B) \(3 ^ { 27 } = 3\)
• C) \(3 ^ { - 3 } = \frac { 1 } { 27 }\)
• D) \(\left( \frac { 1 } { 27 } \right) ^ { 3 } = 3\)

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Definitions:

Tautology

A statement or formula that is true in every possible interpretation, an irrefutable assertion.

Equivalent Statements

Phrases or sentences that express the same idea or proposition in different words.

Phenotype

The evident biological or chemical attributes of an organism, influenced by its genetic composition and surroundings.

Gene

A unit of heredity transferred from a parent to offspring, responsible for certain characteristics and traits.