Matematika kelas 10

a) ²log(x²-5x+8) = ²log2
x² - 5x +8 -2 = 0
(x-3)(x-2) = 0
x-3 = 0 >>>> x = 3
x-2 = 0 >>>> x = 2
HP = { 2,3 }

b) √x² - x < √2
(√x² - x)² < (√2)²
x² - x < 2
x² - x - 2 < 0
(x-2)(x+1) < 0
x-2 = 0 >>>> x = 2
x+1 = 0 >>>> x = -1
HP = { -1 }

c) 5log(2x -4 ) ≥ 0
5log(2x - 4) ≥ 5log1
2x -4 ≥ 1
2x ≥ 4+1
x ≥ 5/2