Matematika

Pertanyaan

nilai x yang memenuhi persamaan eksponensial berikut
nilai x yang memenuhi persamaan eksponensial berikut

1 Jawaban

  • ^ pangkat
    1) 4^x = 64
    4^x = 4⁴
    x = 4
    2) 3^(2x - 2) = 9
    3^(2x - 2) = 3²
    2x - 2 = 2
    2x = 2 + 2
    x = 4/2 = 2
    3) 25^-2x = 3.125
    5^2(-2x) = 5^5
    2(-2x) = 5
    -4x = 5
    x = -5/4
    4) 16^(x+3) = 64^(2x-1)
    4^2(x+3) = 4^3(2x-1)
    2(x+3) = 3(2x-1)
    2x + 6 = 6x - 3
    2x - 6x = -3 - 6
    -4x = -9
    x = -9/-4 = 9/4
    5) 3^(2x-1) = 81^(2x-4)
    3^(2x-1) = 3^4(2x-4)
    2x - 1 = 4(2x - 4)
    2x - 1 = 8x - 16
    2x - 8x = -16 + 1
    -6x = -15
    x = -15/-6 = 15/6