Matematika

Pertanyaan

2log 3 = a dan ³log 5 = b
tentukan 8log 625

2 Jawaban

  • 2log 3 × 3log 5 = 2log 5 = ab

    8log625 = 2^3log5^4 = 3/4 × 2log5
    = 3/4 ×ab
  • 2log3 = a.==» log3/log2 = a.
    3log5 = b, ==» log5/log3 = b.
    8log625 = log625/log8
    = log 5^4 / log 2^3
    = 4.log 5 / 3. log 2 (ganti bilangan pokok 3)
    = 4, 3log 5 / 3. 3log2
    = 4.b / 3. 1/a
    = 4b / (3/a)
    = (4ab/3)

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