Matematika

Pertanyaan

Diketahui ³log4=p dan ³log 5=q nilai dari 6log 240

1 Jawaban

  • ³log4 = p
    ³log2 = p/2
    ³log5 = q

    6log240 = ³log240/³log6
    = ³log(4² x 3 x 5)/³log(2 x 3)
    = (2³log4 + ³log3 + ³log5)/(³log2 + ³log3)
    = (2p + 1 + q)/(p/2 + 1)
    = (2p + 1 + q) ÷ (p+1)/2
    = (2p + 1 + q) x 2/(p+1)
    = 2(2p + 1 + q)/(p+1)

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