Find the Exact Solution to the Equation $2 \cdot 3 ^ { x / 2 } = 54$

question 275

Multiple Choice

Find the exact solution to the equation.
- $2 \cdot 3 ^ { x / 2 } = 54$

• A) \(x = 6\)
• B) \(x = 3\)
• C) \(x = \frac { 3 } { 2 }\)
• D) \(x = 5\)

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Definitions:

Valid Deductive Argument

A form of reasoning where if the premises are true, the conclusion must also be true.

Premises

Statements or ideas that are assumed to be true and used as the basis for an argument or reasoning.

Explanations

A process or act of making an idea, situation, or problem clear to someone by describing it in more detail or revealing relevant facts or ideas.

Deductive Arguments

A form of reasoning where the conclusion is logically derived from premises that are assumed to be true.