Solve the Logarithmic Equation $\log _ { 3 } ( x + 6 ) + \log _ { 3 } ( x - 6 ) - \log _ { 3 } x = 2$

question 132

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.
- $\log _ { 3 } ( x + 6 ) + \log _ { 3 } ( x - 6 ) - \log _ { 3 } x = 2$

• A) \(\{ 12 \}\)
• B) \(\{ 12 , - 3 \}\)
• C) \(\{ - 3 \}\)
• D) \(\varnothing\)

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Definitions:

Layton's Forgiveness Process

A conceptual framework outlining steps towards forgiveness, emphasizing understanding, empathy, and the decision to forgive as key components.

Injured Innocence

A state or feeling of being wronged or harmed undeservingly, often evoking a sense of victimization.

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A persistent, intrusive, and often irrational preoccupation with an idea or feeling that significantly impacts one's well-being or daily functioning.

Receiving Forgiveness

Receiving forgiveness involves being granted pardon or absolution by someone who has been wronged or offended.