Matematika

Pertanyaan

1. Tentukan nilai = x
2log^2 2x - 8 2^log 2x+12 = 0

1 Jawaban

  • ²log² 2x - 8 . ²log 2x + 12 = 0

    Misal : ²log 2x = a

    ²log² 2x - 8 . ²log 2x + 12 = 0
    a² - 8a + 12 = 0
    (a - 2)(a - 6) = 0
    a = 2 atau a = 6

    Utk a = 2
    ²log 2x = 2
    2x = 2^2 ---> x = 2

    Utk a = 6
    ²log 2x = 6
    2x = 2^6
    x = 64/2 ---> x = 32

    Nilai x yg memenuhi :
    2 dan 32

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