Matematika

Pertanyaan

Bantu nomor 1 sama 2?
Bantu nomor 1 sama 2?

2 Jawaban

  • No 1
    1/2 log (x^2 + 2x ) < -3
    1/2 log (x^2 + 2x) < 1/2 log 1/2 ^ -3
    X^2 + 2x < 1/2 ^ -3
    X^2 + 2x < 1 / (1/8)
    x^2 + 2x < 8
    x^2 + 2x - 8 < 0
    (x + 4) (x -2) < 0
    Batas grafik selangnya
    x = -4 dan x = 2
    Nilai x yg memenuhi
    -4 < x < 2

    No. 2
    (x-2) log (8 -x) > 2
    (x-2) log ( 8 -x) > (x-2) log (x-2)^2
    8-x > (x-2)^2
    8-x > x^2 - 4x + 4
    -x^2 + 3x +4 > 0
    x^2 -3x -4 < 0
    (x + 1) (x-4) < 0
    Batas selang
    x = -1 dan x = 4
    Nilai x yg memenuhi
    -1 < x < 4
  • 2). x-2log(8-x)>2
    log8-x>(x-2)^2
    8-x>x^2-2x-2x+4
    8-x>x^2-4x+4
    x^2-4x+x+4-8>0
    x^2-3x-4>0
    (x-4) (x+1) >0

    x=4
    x=-1

    ++++------—--++++++
    -1. 4

    hp{x|x<-1 atau x>4 (E)