Matematika

Pertanyaan

diketahui 2 log 3 = p dan 3 log 5 = q. 3 log 120 jika dinyatakan dengan p dan q adalah

1 Jawaban

  • 3 log 5 = q
    (log 5)/(log 3) = q
    log 5 = q.log 3
    log 3 = (log 5)/q

    2 log 3 = p
    (log3)/(log 2) = p
    log 3 = p.log 2
    log 2 = (log 3)/p

    3 log 120 = (log 120)/(log 3)
                  = (log 2^3.3.5)/(log 3)
                  = {(3.log 3)/p + log 3 + q.log 3} / log 3
                  = {log 3(3/p + 1 + q} / log 3
                  = 3/p + q + 1

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