log(9)x = a
2a²+3a-2 = 0
D = 9+16 = 25
a = -3±5/4
a1 = -2
a2 = 1/2
1)log(9)x = -2
x = 9^-2
x = 1/81
2)log(9)x = 1/2
x = 9^1/2
x = ✓9 = 3
Ответ: x max = 3