Express the Equation $\log _ { 32 } 8 = \frac { 3 } { 5 }$

question 46

Multiple Choice

Express the equation $\log _ { 32 } 8 = \frac { 3 } { 5 }$ in exponential form.

• A) \(3 ^ { 5 } = 8\)
• B) \(\frac { 2 ^ { 3 } } { 2 } = 16\)
• C) \(8 = 3 ^ { 2 }\)
• D) \(32 ^ { 3 / 5 } = 8\)
• E) \(8 ^ { 5 / 3 } = 32\) 

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Definitions:

Irrational Thinking

A thought process characterized by conclusions that are not logically justified by the available evidence.

Positive Therapeutic Alliance

The collaborative and trusting relationship between a therapist and client, which is crucial for effective therapy.

Demanding Thinking

A cognitive process characterized by rigid, absolute thinking and unreasonable expectations of oneself or others.

Rational-emotive Behavior Groups

Therapy sessions focused on identifying irrational beliefs and changing them to more rational responses.