Matematika

Pertanyaan

Diket 2log 7 = x, dan 2log 3= y. Nilai dari 6log28=

2 Jawaban

  • 2'log 7 = x
    2'log 3 = y

    6'log 28 = 2'log 28 ÷ 2'log 6
    = 2'log (4 × 7) ÷ 2'log (2 × 3)
    = (2'log 4 + 2'log 7) ÷ (2'log 2 + 2'log 3)
    = (2'log 2^2 + x) ÷ (1 + y)
    = (2 + x) ÷ (1 + y)
  • ²log7 = x
    ²log3 = y

    ⁶log28
    = ²log28 / ²log6
    = ²log(4.7) / ²log(2.3)
    = (2. ²log2 + ²log7) /(²log2 + ²log3)
    = (2 + ²log7) / ( 1 + ²log3)
    = (2 + x) / (1 + y)

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