Matematika

Pertanyaan

Jika 3 log 4 = a maka 27 log 2 =......

2 Jawaban

  • ³log4 = a ⇔ log4/log3 ⇔ log2² / log3 = 2log2/log3
    ^27log2 = log2/(log3³) = log2/3log3
    supaya:
     2log2/log3 menjadi log2/3log3 maka:
    kalikan 2log2/log3  dengan (1/6) sehingga:
    (1/6)(2log2/log3) = log2/3log3 

    karena  2log2/log3 = a maka:
    log2/3log3  = (1/6)a atau a/6

    semoga membantu

    nb: sifat logaritma
    1. ^alogb = logb/loga
    2. log a^b = b.loga = bloga
  • 3log4 = a => 3log2^2 = a => 2 . 3log2 = a => 3log2 = a/2
    27log2 = 3^3log2 = 1/3 . 3log2 = 1/3 . a/2 = a/6 = 1/6 a

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