Matematika

Pertanyaan

Semua nomor yang a kak, tolong ya
Semua nomor yang a kak, tolong ya

1 Jawaban

  • 1a.
    log (3x - 1) = log 5
    3x - 1 = 5
    3x = 6 ,x = 2

    Syarat
    3x - 1 > 0
    x > ⅓

    HP :{ 2 }

    2a.

    ⁵log x² = ⁵log 4x + 1
    ⁵log x² - ⁵log 4x = 1
    ⁵log (x²/4x) = ⁵log 5
    x/4 = 5
    x = 20

    Syarat
    x > 0

    HP : {20}

    3a.

    log(log (x + 3)) = log 2
    log (x + 3) = 2
    x + 3 = 10²
    x = 100 - 3
    x = 97

    Syarat
    x + 3 > 0 , x > -3

    HP :{97}

    4a.

    ⁴log 2^x = x
    4^x = 2^x
    x = 0

    HP : {0}

    5a.

    ³log²x + 9 • ³ log x - 10 = 0
    (³log x + 10)(³log x - 1) = 0

    ³log x = -10 [TM]
    atau
    ³log x = 1
    ³log x = ³log 3
    x = 3

    HP : {3}