Use the Definition of a Logarithm to Solve Logarithmic Equations $\log _ { 3 } ( x + 6 ) + \log _ { 3 } ( x - 6 ) - \log _ { 3 } x = 2$

question 52

Multiple Choice

Use the Definition of a Logarithm to Solve Logarithmic Equations
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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