Matematika

Pertanyaan

Jika dik 2log-5 + p dan 5log3-q logaritma berikut p dan q
75 log 18
30 log 6
6 log 54

1 Jawaban

  • Ngetik soal yg rapi ya... :)

    2'log 5 = p
    5'log 3 = q


    75'log 18
    = 5'log 18 / 5'log 75
    = (5'log (3² × 2)) / (5'log (5² × 3))
    = (5'log 3² + 5'log 2) / (5'log 5² + 5'log 3))
    = (2q + 1/p) / (2 + q)
    = (2pq + 1) / (2p + pq)


    30'log 6
    = 5'log (2 × 3) / 5'log (2 × 3 × 5)
    = (5'log 2 + 5'log 3) / (5'log 2 + 5'log 3 + 5'log 5)
    = (1/p + q) / ( 1/p + q + 1)
    = (1 + pq) / (1 + pq + p)


    Buat kamu :)

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