Matematika

Pertanyaan

Tolong dibantu yaa,, aku kesusahan nihh
Tolong dibantu yaa,, aku kesusahan nihh

1 Jawaban

  • 1a) ( 1/16)^x-2 = 64
    (2-⁴)^x-2 = 2^6
    ----> -4 ( x - 2) = 6
    ----> - 4x + 8 = 6
    ----> - 4x = 6 - 8
    ----> - 4x = - 2
    ----> x = 2/4
    ----> x = ½
    hp = ( ½ )

    b) 2^x²+3x+4 = 4^-x-1
    2^x²+3x+4 = (2²)^-x-1
    ----> x² + 3x + 4 = 2 ( -x - 1)
    ----> x² + 3x + 4 = - 2x - 2
    ----> x² + 3x + 2x + 4 + 2 = 0
    ----> x² + 5x + 6 = 0
    ----> ( x + 3)( x + 2) = 0
    ----> x = - 3 atau x = - 2
    hp = ( - 3, - 2)

    c) 3^x²+x-2 = 81^x+2
    3^x²+x-2 = (3⁴)^x+2
    ----> x² + x - 2 = 4 ( x + 2)
    ----> x² + x - 2 = 4x + 8
    ---> x² + x - 4x - 2 - 8 = 0
    ----> x² - 3x - 10 = 0
    ----> ( x - 5)( x + 2) = 0
    ---> x = 5 atau x = - 2
    hp = ( -2 , 5)