Find the Solution of the Equation Correct to Four Decimal $$\ln \left( e ^ { x } - 3 \right) = 2$$

question 13

Short Answer

Find the solution of the equation correct to four decimal places. $$\ln \left( e ^ { x } - 3 \right) = 2$$

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Definitions:

Cognitive-behavioral

Relating to cognitive-behavioral therapy (CBT), a type of psychotherapy that involves modifying dysfunctional emotions, behaviors, and thoughts through a goal-oriented, systematic approach.

Humanistic-existential

An approach in psychology that emphasizes individuality, free will, and the search for meaning in one’s existence.

Sociocultural

Pertaining to the combination of social and cultural factors that influence an individual or community.

Irrational Thinking

Thought processes characterized by unreasonable, flawed, or distorted perceptions of reality, often leading to negative emotional and behavioral outcomes.