Matematika

Pertanyaan

diketahui 2 log 3 = m dan 3 log 5 = n nyatakan nilai 36 log 60

1 Jawaban

  • ²log3 = m
    ³log5 = n
    ²log3.³log5 = ²log5 = mn

    36^log 60 = ²log60 / ²log36
    = ²log5.12 / ²log3.12
    = ²log5+²log12 / ²log3+²log12
    = ²log5+²log3+²log4 / ²log3+²log3+²log4
    = ²log5+²log3+²log2²/²log3+²log3+²log2²
    = mn+m+2 / m+m+2
    = 2+mn+m / 2+2m

    Saya cuma bisa sampe sini.. senoga benar

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