9log(2x-5)+9logx=0,5
Matematika
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Pertanyaan
9log(2x-5)+9logx=0,5
1 Jawaban
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1. Jawaban newwiguna
⁹log(2x-5) + ⁹logx = 0,5
⁹log(2x-5) + ⁹logx = 1/2
⁹log(2x-5)x = ⁹log9^1/2
⁹log2x²-5x = ⁹log3
2x² - 5x = 3
2x² - 5x - 3 = 0
(2x + 1)(x - 3) = 0
2x + 1 = 0
x = -1/2 (tidak memenuhi)
x - 3 = 0
x = 3 (memenuhi)
maka, x = 3