Matematika

Pertanyaan

tolong jawab dengan caranya sekaligus
tolong jawab dengan caranya sekaligus

1 Jawaban

  • 1) 2^(4+x) = 8^(3+2x)
    2^(4+x) = (2^3)^(3+2x)
    2^(4+x) = 2^3(3+2x)
    4 + x = 3(3 + 2x)
    4 + x = 9 + 6x
    4 - 9 = 6x - x
    -5 = 5x
    x = -1

    2) 27^(x+1) = 3^2
    (3^3)^(x+1) = 3^2
    3^3(x+1) = 3^2
    3(x + 1) = 2
    3x + 3 = 2
    3x = 2 - 3
    x = -⅓

    3) 1/16^x = 2^(x-1)
    1/(2^4)^x = 2^(x - 1)
    1/2^4x = 2^(x - 1)
    2^-4x = 2^(x - 1)
    -4x = x - 1
    -4x - x = -1
    -5x = -1
    x = 1/5

    4) 5^x / 25 = 5^4
    5^x / 5^2 = 5^4
    x - 2 = 4
    x = 4 + 2 = 6