Matematika

Pertanyaan

2log3=a dan 3log5=b nilai 5log120=

2 Jawaban

  • 2log 3 = a, 3log 5 = b
    5log 120
    = log 120 / log 5
    = log (8x3x5) / log 5
    = (log 8 + log 3 + log 5) / log 5
    = (log 2^3 + log 3 + log 5) / log 5
    = (3. log 2 + log 3 + log 5) / log 5
    (nanti bilangan pokok logariitma dengan 3 )
    = (3. 3log 2 + 3log 3 + 3loog 5) / 3log 5
    = (3/a + 1 + b) / b
    = { (3 + a + ab) /a } / b
    = (3 + a + ab) / ab



    = (log
  • LogaRitMa

    ²log 3 = a
    ³log 5 = b

    5'log 120
    = ³log 120 / ³log 5
    = ³log (2³ × 3 × 5) / ³log 5
    = (3 . ³log 2 + ³log 3 + ³log 5) / ³log 5
    = (3/a + 1 + b) / b
    = (3 + a + ab) / ab ✔

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