№1а) =0,4
б) = 1/2
в) =1/8
№2
-2х +3 < -3 -2x, ⇒0x < -3 , ⇒ ∅<br>№3
log₄x = t
3t² -7t +2 = 0
D = 49 -24 = 25
t₁ = 2 t₂=1/3
log₄x = 2 log₄x = 1/3
x = 4² =16 x = ∛4
№4
√(2х² -11х +6) = 2х -9 |²
2x² -11x +6 = 4x² -36x +81
2x² -25x +75 = 0
D = 25
x₁= (25+5)/4 = 30/4 = 15/2 (посторонний корень,
т.к.2х -9 должно быть > 0)
х₂ = (25 -5)/4 = 5
Ответ:5
№5
Sin(x + π/3) = -√3/2
х + π/3 = (-1)^(n+1)*π/3 + nπ, n ∈ Z
x = (-1)^(n+1)*π/3 + nπ - π/3, n ∈ Z