Matematika

Pertanyaan

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2 Jawaban

  • 1. a. 3 log 81 = 4
    b. 5 log 125 = 3
    c. 32 log 8 = 3/5
    d. 2 log 1/8 = -3

  • 1a.
    3^x = 81
    3^x = 3^4
    x = 4
    b.
    5^x = 125
    5^x = 5^3
    x = 3
    c.
    32^x = 8
    (2^5)^x = 2^3
    2^(5x) = 2^3
    5x = 3
    x = 3/5
    d.
    2^x = 1/8
    2^x = 8^(-1)
    2^x = (2^3)^(-1)
    2^x = 2^(-3)
    x = -3

    2a.
    2^(3x) = 512
    2^(3x) = 2^9
    3x = 9
    x = 9/3
    x = 3
    b.
    5^(x-1) = 5^(3x - 11)
    x - 1 = 3x - 11
    x - 3x = -11 + 1
    -2x = -10
    x = -10/-2
    x = 5