Use Algebraic Procedures to Find the Exact Solution(s) of the Equation

question 52

Multiple Choice

Use algebraic procedures to find the exact solution(s) of the equation below. $6 ^ { 9 x + 2 } = \frac { 1 } { 216 }$

• A) \(x = - \frac { 5 } { 9 }\)
• B) \(x = \frac { 1 } { 9 }\)
• C) \(x = \frac { 1 } { 6 }\)
• D) \(x = - \frac { 5 } { 6 }\)
• E) \(x = \frac { 5 } { 6 }\)

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Definitions:

Physiological Dependence

A condition in which the body has adapted to the presence of a substance, leading to withdrawal symptoms when the substance is reduced or not used.

Heart Attacks

Medical emergencies that occur when the flow of blood to the heart is blocked, often by a blood clot, causing damage to heart muscle.

Psychological Dependence

A condition in which an individual feels compelled to continue using a substance due to emotional or psychological needs.

Mental Craving

A strong emotional or psychological desire or need, often for a specific substance or experience.