Matematika

Pertanyaan

himpunan penyelesaian dari ²log (x-2) + ²log(x-3) = ²log3. ³log2

1 Jawaban

  • Logaritma
    SMA Kelas X

    ²log(x - 2) + ²log(x - 3) = ²log3.³log2
    ²log[(x - 2)(x - 3)] = ²log2
    ²log(x² - 5x + 6) = ²log2

    x² - 5x + 6 = 2
    x² - 5x + 6 - 2 = 0
    x² - 5x + 4 = 0
    (x - 4)(x - 1) = 0

    x - 4 = 0
    x = 4

    x - 1 = 0
    x = 1 (tidak memenuhi)

    HP = {4}

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