Let a > 0, a ≠ 1 and f (x) = loga (x2-2x + 3) have the minimum value, then the solution set of inequality loga (x-1) > 0 is______ .

Let a > 0, a ≠ 1 and f (x) = loga (x2-2x + 3) have the minimum value, then the solution set of inequality loga (x-1) > 0 is______ .

From a > 0, a ≠ 1, the function f (x) = loga (x2-2x + 3) has the minimum value, we can know that a > 1, so the inequality loga (x-1) > 0 can be transformed into X-1 > 1, that is, X > 2