Log2(x^2-4x+3)>3
ОДЗ: x^2 - 4x + 3 > 0
x^2 - 4x + 3 = 0
D = 16 - 4*1*3 = 4
x1 = (4+2)/2 = 6/2 = 3
x2 = (4-2)/2 = 2/2 = 1
(x-1)(x-3) > 0
x прин (-беск, 1)U(3; +беск)
Log2(x^2-4x+3)>log2 2^3
x^2 - 4x + 3 > 8
x^2 - 4x - 5 > 0
x^2 - 4x - 5 = 0
D = 16 - 4*1*(-5) = 36
x1 = (4+6)/2 = 5
x2 = (4-6)/2 = -1
(x-5)(x+1) > 0
x прин (-беск, -1)U(5; +беск)