Matematika

Pertanyaan

1. Log (x+2) + log (x+4) = log 15
2. 2log 2x + 2log x = 2log 6

1 Jawaban

  • log a + log b = log (a×b)

    1) log (x + 2) + log (x + 4) = log 15
    log (x + 2) (x + 4) = log 15
    (x + 2) (x + 4) = 15
    x² + 6x + 8 = 15
    x² + 6x - 7 = 0
    (x + 7) (x - 1) = 0
    x = -7 atau x = 1

    2) ²log 2x + ²logx = ²log 6
    ² log (2x × x) = ²log 6
    2x² = 6
    x² = 6/2
    x² = 3
    x = ± √3
    x = √3 atau x = -√3

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