Solve the Equation $$\left( \frac { 1 } { 3 } \right) ^ { 4 x + 5 } = 9 ^ { x - 2 }$$

question 378

Multiple Choice

Solve the equation.
- $$\left( \frac { 1 } { 3 } \right) ^ { 4 x + 5 } = 9 ^ { x - 2 }$$

• A) \(\left\{ - \frac { 1 } { 6 } \right\}\)
• B) \(\left\{ \frac { 9 } { 4 } \right\}\)
• C) \(\left\{ - \frac { 1 } { 2 } \right\}\)
• D) \(\left\{ - \frac { 3 } { 5 } \right\}\)

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Definitions:

Operant Conditioning

A method of learning that employs rewards and punishments for behavior.

Learning

The acquisition of knowledge or skills through experience, study, or being taught.

Intermittent Pairing

A concept in conditioning where the pairing of stimuli or behaviors is not continuous but occurs at irregular intervals.

Partial Reinforcement

A condition in operant conditioning where only a portion of responses are reinforced, making the learned behavior more resistant to extinction.