Matematika

Pertanyaan

1. Jika 2log3=a, 5log2=b, maka 15log12 adalah....
2.Jika 5log3=p, maka 15log81=...


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2 Jawaban

  • LogAritMa

    1][
    2'log 3 = a
    5'log 2 = b

    15'log 12
    = 2'log 12 / 2'log 15
    = 2'log (2² × 3) / 2'log (3 × 5)
    = (2 . 2'log 2 + 2'log 3) / (2'log 3 + 2'log 5)
    = (2 + a) / (a + 1/b)
    = b(2 + a) / (ab + 1)

    2][
    5'log 3 = p

    15'log 81
    = 3'log 81 / 3'log 15
    = 3'log 3⁴ / (3'log 3 + 3'log 5)
    = 4 / (1 + 1/p)
    = 4p / (p + 1)
  • 1.Jika 2log3=a, 5log2=b,
    maka 15log12 =(log 12 ) /( log15)
    =(log 2x2x3)/(log 5x3)
    =(2× 2log2+2log3) / (2log5+2log3)
    =(2×1+a) / ( 1/b+a)
    (2+a) x( ab/(1+ab))



    2.Jika 5log3=p, maka 15log81=...
    Log81/log 15 =
    Log 3x3x3x3)/(log 5x3)
    4x(3Log 3)/(3log 5+3log3)
    4 / (1/p+1)



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