Algebra-2

Question Analysis
This problem assesses the student's ability to solve a more complex logarithmic equation using the properties of logarithms and verifying the domain.

Key Concept Explanation
The key concepts include the quotient rule for logarithms and the conversion of the resulting equation to its exponential form.

Step-by-step Solution
1. Combine the logarithms using the quotient rule: .
2. Convert the logarithmic equation to its exponential form: .
3. Solve the rational equation: Multiply both sides by (note , so ): .
4. Expand the right-hand side: .
5. Rearrange terms: , so

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