Matematika

Pertanyaan

nomer 5 gimana ya?
(eksponensial)
nomer 5 gimana ya? (eksponensial)

1 Jawaban

  • ^ tanda pangkat
    {27^x / 9^y} = 81
    {(3³)^x / (3²)^y} = 81
    {3^3x / 3^2y} = 81
    3^(3x - 2y) = 3^4
    3x-2y = 4 |×2| => 6x-4y = 8 persamaan 1
    5(25)^x = 3125^y
    5¹.(5²)^x = (5^5)^y
    5¹.5^2x = 5^5y
    5^(1+2x) = 5^5y
    1 + 2x = 5y
    2x - 5y = -1 |×3| ==>6x-15y = -3 (persamaan 2)
    eliminasi persamaan 1 dan 2
    6x - 4y = 8
    6x - 15y = -3
    ------------------- _
    11x = 11
    x = 1
    2(1) - 5y = -1
    - 5y = -1 - 2
    y = -3/-5 = 3/5
    3x + y = 3(1) + 3/5
    = 3 + 3/5
    = 15/5 + 3/5
    = 18/5