Matematika

Pertanyaan

no 5 gausah ya. tolong dijawab dengan benar karna besok dikumpulin makasi
no 5 gausah ya. tolong dijawab dengan benar karna besok dikumpulin makasi

1 Jawaban

  • 2][
    3^(x² + x - 2) = 81^(x + 2)
    3^(x² + x - 2) = 3^4(x + 2)
    x² + x - 2 = 4x + 8
    x² - 3x - 10 = 0
    (x - 2)(x + 5) = 0
    p = 2 ; q = -5

    p - q = 2 - (-5) = 7

    Opsi D

    3][
    (1/4)^(x + 2) = ³√8^(2x - 1)
    2^-2(x + 2) = 2^3(2x - 1)/3
    -2x - 4 = 2x - 1
    -4x = 4 - 1
    x = -3/4

    Opsi E

    81^x = 3^(4 × -3/4) = 3^-3 = 1/3^3 = 1/27

    4][
    √8^(3 - x) = 4 . 2^(1 - 2x)
    2^3(3 - x)/2 = 2^(2 + (1 - 2x))
    3/2 (3 - x) = 3 - 2x
    9 - 3x = 6 - 4x
    x = 6 - 9
    x = -3

    Opsi B