Matematika

Pertanyaan

diketahui 5 log 3 = A dan 3 log 4 = b nilai 4 log 15 adalah

1 Jawaban

  • 5'log 3 = a
    3'log 4 = b
    3'log 2 = b/2

    5'log 3 . 3'log 2 = 5'log 2 = ab/2

    4'log 15
    = 1/2 . 2'log (3 × 5)
    = 1/2 (2'log 3 + 2'log 5)
    = 1/2 (2/b + 2/ab)
    = 1/b + 1/ab
    = (a + 1)/ab ✔

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