Matematika

Pertanyaan

Mohon bantuannya kk lagi gabut aja ni hehe.[tex] 81^{a-b} . 45^{a+b} = \sqrt{135} \ maka \ nilai \ 7a - b = ...[/tex]
Jika

1 Jawaban

  • 81^(a - b) . 45^(a + b) = √135
    (3^4)^(a - b) . (3^2 . 5)^(a + b) = (135)^1/2
    3^(4a - 4b) . 3^(2a + 2b) . 5^(a + b) = (3^3 . 5)^1/2
    3^(4a - 4b + 2a + 2b) . 5^(a + b) = 3^(3/2) . 5^(1/2)
    3^(6a - 2b) . 5^(a + b) = 3^(3/2) . 5^(1/2)
    Jadi
    6a - 2b = 3/2
    a + b = 1/2
    ------------------- +
    7a - b = 2

    Ket : ^ = pangkat

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