Solve the Logarithmic Equation $\log _ { 3 } ( x + 2 ) - \log _ { 3 } x = 2$

question 220

Multiple Choice

Solve the logarithmic equation. Be sure to reject any value that is not in the domain of the original logarithmic
expressions. Give the exact answer.
- $\log _ { 3 } ( x + 2 ) - \log _ { 3 } x = 2$

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

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Definitions:

Higher-order Conditioning

A form of learning in which a stimulus is first made meaningful or consequential for an organism through an initial step of learning, and then that stimulus is used as a basis for learning about some new stimulus.

Disinhibition

The reduction of inhibition, leading to an increase in spontaneous and unrestrained behavior, often as an effect of alcohol or neural damage.

Sensitization

An increased reaction to a stimulus following its repeated presentation, often observed in allergic reactions or in response to drugs.

Behavioral Contrast

The phenomenon where the rate of response to a stimulus changes significantly when the conditions of reinforcement for another stimulus are altered.