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How many integral values of x satisfy the equation |log_(sqrt(3))(x - 2)| - |log₃(x - 2)| = 2?
- 1
- 2
- 3
- 4
Correct answer: 1
Solution
Setting t = log₃(x-2), the equation simplifies to |t| = 2, giving x = 11 (integer) and x = 2 + 1/9 (not integer), so there is exactly 1 integral solution.
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