Matematika

Pertanyaan

jila ²log3=p dan²log5=q maka tentukan nilai dari:
a.⁴Log15
b.16 log60
c.9Log25

1 Jawaban

  • a) ⁴log 15 = ²log 15 / ²log 4
    = ²log (5×3) / ²log 2²
    = ²log 5 + ²log 3 / 2.²log 2
    = (q + p) / 2
    b) 16log 60 = ²log 60 / ²log 16
    = ²log (3×5×4) / ²log 2⁴
    = ²log 3 + ²log 5 + ²log 4 / 4.²log 2
    = (p + q + 2) / 4
    c) 9log 25 = ²log 25 / ²log 9
    = ²log 5² / ²log 3²
    = 2.²log 5 / 2.²log 3
    = 2q/2p
    = q/p

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