Matematika

Pertanyaan

3^p=9. (27)^q dan 2^log 7 - 2^log(11q -2p) = 1

1 Jawaban

  • 3^p = 3² . (3³)^q
    3^p = 3^(2+3q)
    p = 2 + 3q
    ²log 7 - ²log (11q - 2p) = 1
    ²log {7/(11q-2p)} = ²log 2
    7 / (11q - 2p) = 2
    7 = 2(11q - 2p)
    7 = 22q - 4p
    substitusi kan p
    7 = 22q - 4(2 + 3q)
    7 = 22q - 8 - 12q
    7 + 8 = 10q
    15 = 10q
    q = 15/10 = 1,5
    p = 2 + 3(1,5)
    p = 2 + 4,5 = 6,5

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