Algebra-2

Question Analysis
This problem evaluates the ability to solve logarithmic equations using the product rule and converting to exponential form.

Key Concept Explanation
The product rule states that . We can use this to combine the logarithms and then convert the equation to its exponential form.

Step-by-step Solution
1. Combine the logarithms using the product rule: .
2. Convert to exponential form: .
3. Expand and simplify the quadratic equation: , so .
4. Solve the quadratic equation using the quadratic formula: