Matematika

Pertanyaan

Tolong di jawab semua dari 5a-7b pliss. Penting buat besok pagi.
Tolong yg jawab jangan asal2an jangan cuman cari poin thok! Aku dah ngasih poin banyak.
Tapi aku berharap buat brainly teacher ataupun moderator kalau bisa kak zul mahapahit plis jawab ini pake caranya juga semua nomer harap diisi
Tolong di jawab semua dari 5a-7b pliss. Penting buat besok pagi. Tolong yg jawab jangan asal2an jangan cuman cari poin thok! Aku dah ngasih poin banyak. Tapi ak

1 Jawaban

  • 5) a) (2^x)^2 - 10 (2^x) + 16 = 0
    misal 2^x = p
    p^2 - 10p + 16 = 0
    (p-8)(p-2) = 0
    p = 8 
    2^x = 2^3
    x = 3
    p = 2
    2^x = 2^1
    x = 1
    Hp = {1,3}

    b) (3^x)^2 + 8 (3^x) - 9 = 0
    misal 3^x = p
    p^2 + 8p - 9 = 0
    (p+9)(p-1) = 0
    p = -9
    3^x = -9 (Tidak Mungkin)
    p = 1
    3^x = 3^0
    x = 0
    Hp = {0}

    6) a) 3^(2x + 2) + 8 (3^x) - 1 = 0
    3^2x . 3^2 + 8 (3^x) - 1 = 0
    (3^x)^2 . 3^2 + 8 (3^x) - 1 = 0
    misal 3^x = p
    9p^2 + 8p - 1 = 0
    (9p-1)(p+1) = 0 
    p = 1/9
    3^x = 3^-2
    x = -2
    p = -1
    3^x = -1 (Tidak Mungkin)
    Hp = {-2}

    b) (5^x)^2 . 1/5 - 6(5^x) + 25 = 0
    misal 5^x = p
    1/5p^2 - 6p + 25 = 0
    (1/5p - 5) (p - 5)= 0
    p = 25
    5^x = 5^2
    x = 2
    p = 5
    5^x = 5^1
    x = 1
    Hp = {1,2}

    7) 
    a) 2^x + 4.2^-x = 5
    2^x + 4.(2^x)^-1 = 5
    misal 2^x = p
    p + 4p^-1 = 5
    p + 4/p = 5 (xp masing masing ruas)
    p^2 + 4 = 5p
    p^2 - 5p + 4 = 0
    (p - 4) (p-1) = 0
    p = 4
    2^x = 4
    x = 2
    p = 1
    2^x = 2^0
    x = 0

    hp = {0,2}

    Mohon maaf apabila ada kesalahan