Matematika

Pertanyaan

2.log. ² x-log x³-9=0

1 Jawaban

  • 2 log² x -  log x³  - 9 = 0 
    2 log² x - 3 log x  - 9 = 0

    log x = y
    2y² - 3y - 9  = 0
    (2y + 3)(y - 3) = 0
    2y + 3 = 0  atau  y - 3 = 0
    y = - 3/2   atau y = 3

    log x = y
    x = 10^y

    y = - 3/2
    x = (10)^(-3/2)
    x = 1/(10√10)
    x = (1/100) √10

    y = 3 
    x = 10³
    x = 1.000

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