Matematika

Pertanyaan

Jika 3 log 5=a dan 3 log 6=b maka 108 log 150=

1 Jawaban

  • 3 log 5 = a
    log 5/log3 =a
    log 5 = a log 3

    3 log 6 = b
    log 6/log 3 =b
    log 6 =b log 3

    108 log 150 = log 150/log 108
    =log 6+log 5^2/log 6^2+log3
    log 6+ 2 log 5 / 2 log 6 + log 3
    b log 3 + 2 .a log 3 / 2. b log 3 + log 3
    log 3 (b+2a) / log 3 (2b+1)
    b+2a/2b+1

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