Logarithm question

Question

Log₃(x-3)>2

i solved and got x>12 which is correct, but for the domain I got 12<x<25 and it was wrong so I need the domain.

Answer 1

Domain: x - 3 > 0, x > 3 or (3, ∞), so solution of inequality: x - 3 > 3², x > 12; ⊂Interval (12, ∞) ⊂ (3, ∞).

So, solution is (12, ∞)