Matematika

Pertanyaan

himpunan penyelesaian persamaan 3^2x+3 - 12×3^x
himpunan penyelesaian persamaan 3^2x+3 - 12×3^x

1 Jawaban

  • 3^2x.3³ - 12.3^x + 1 = 0
    (3^x)².27 - 12.3^x + 1 = 0
    27(3^x) - 12.3^x + 1 = 0
    misalkan 3^x = p
    27p² - 12p + 1 = 0
    (9p - 1)(3p - 1) = 0
    p = 1/9 atau p = 1/3
    3^x = 1/9
    3^x = 3^-2
    x = -2
    atau
    3^x = 1/3
    3^x = 3^-1
    x = -1