(√5)^(x-2)(3-x) > 25 ^x-2

5^1/2(x-2)(3-x) = 5^2(x-2)
5^1/2(-x^2+5x-6) = 5^(2x-4)
5^(-1/2x^2+5/2x-3) = 5^(2x-4)
-1/2x^2+5/2x-3 = 2x -4
-1/2x^2 + 1/2x +1 = 0
x^2 -x -2 = 0
( x + 1) (x - 2 ) = 0
x = -1 atau x= 2