Matematika

Pertanyaan

Cara jawab28,29 beserta langkah
Cara jawab28,29 beserta langkah

1 Jawaban

  • nomer 28

    ²log (x - 2) + ²log (x + 5) ≤ 3
    ²log ( (x - 2) × (x + 5) ) ≤ ²log 2³
    (x - 2) (x + 5) ≤ 2³
    x² + 3x - 10 ≤ 8
    x² + 3x - 18 ≤ 0
    (x + 6) (x - 3) ≤ 0
    x = -6 atau x = 3
    -6 ≤ x ≤ 3. .......(i)

    syarta numerus
    x - 2 > 0
    x > 2 ......(ii)
    x + 5 > 0
    x > - 5 .......(iii)

    irisan (i) (ii) (iii)
    HP [ x | 2 < x ≤ 3 ]
    D

    29)
    ⅓ 'log (2x - 6) ≤ ⅓ 'log (x + 2)
    (2x - 6) ≥ (x + 2)
    2x - x ≥ 2 + 6
    x ≥ 8 ........(i)

    syarat numerus
    (2x - 6) > 0
    x > 3 .......(ii)
    x + 2 > 0
    x > - 2 .......(iii)

    irisan (i) (ii) (iii)
    HP [ x | x ≥ 8]
    C