Matematika

Pertanyaan

Jika log 3 = 0,4771 dan log 2 = 0,3010, maka nilai dari log 75 =

2 Jawaban

  • log 3 = 0,4771
    log 2 = 0,301

    log 75
    = log (3 × 5²)
    = log 3 + 2 log 5
    = log 3 + 2 log (10/2)
    = log 3 + 2log 10 - 2log 2
    = 0,4771 + 2 - 2(0,301)
    = 0,4771 + 2 - 0,602
    = 1,8751
  • log 75 = log (25 . 3)
    = log 25 + log 3
    = log 5² + log 3
    = 2 . log 5 + log 3
    = 2 . log (10/2) + log 3
    = 2 (log 10 - log 2) + log 3
    = 2 (1 - 0,3010) + 0,4771
    = 2 - 0,6020 + 0,4771
    = 1,8751

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