SBMPTN

Pertanyaan

Tolong bantuannya yg no 1
Tolong bantuannya yg no 1

1 Jawaban

  • misal: ^2logx=a
    ^3logy=b

    ^2logx^2 + ^3logy^-3 = 4
    2a -3b =4..(1)

    ^2logx + ^3logy^4 =13
    a + 4b = 13...(2)

    eliminasi 1)&2)
    2a -3b =4.....(×1
    a + 4b = 13...(×2
    2a - 3b =4
    2a + 8b =26
    __________-
    -11b = -22
    b= 2
    2a - 3b =4
    2a -3(2) =4
    2a =10
    a=5

    ^2logx=a
    ^2logx=5
    x=2^5=32

    ^3logy=b
    ^3logy=2
    y=3^2=9

    maka
    ^4log32 - ^9log9
    [tex]^{2^{2} } log(2 ^{5} ) - ^{9} log(9) \\ \frac{5}{2} - 1 \\ \frac{3}{2} [/tex]

    hasilnya E