Solve the Equation $e^{3 x / 5}=7$ A) $x = \frac { 5 } { 3 } \ln 7$

question 54

Multiple Choice

Solve the equation. Find the exact solution. $e^{3 x / 5}=7$

• A) \(x = \frac { 5 } { 3 } \ln 7\)
• B) \(x = \frac { 7 } { 3 }\)
• C) \(x = \frac { 7 } { 3 } \ln 5\)
• D) \(x = 7 \ln ( 5 / 3 )\)
• E) \(x = \frac { e } { 7 } \ln 3\)

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Definitions:

Consciousness

The state of being aware of and able to think about one's own existence, sensations, thoughts, surroundings, and experiences.

Influenced

The capacity of a person, object, or idea to have an effect on others or the environment, often without direct or physical presence.

Jungian Theory

A psychological theory developed by Carl Jung that emphasizes the collective unconscious, archetypes, and the process of individuation.

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Events or occurrences that leave an impression on someone, contributing to one's knowledge or consciousness.