Question

2 log (9)^2 x -2+3log(9)x=0​

Answer 1

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