himpunan penyelesaian 3log(x²-1)-3log(5x+5)=0adalah..
Matematika
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Pertanyaan
himpunan penyelesaian 3log(x²-1)-3log(5x+5)=0adalah..
2 Jawaban
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1. Jawaban RexyGamaliel
3log(x²-1) - 3log(5x+5) = 0
3log([tex] \frac{x^2-1}{5x+5} [/tex]) = 0
3^0 = [tex] \frac{x^2-1}{5x+5} [/tex]
1 = [tex] \frac{x^2-1}{5x+5} [/tex]
5x + 5 = x² - 1
0 = x² - 5x - 6
0 = (x - 6)(x + 1)
x = 6
atau
x = -1 -
2. Jawaban Anonyme
LogAritMa
³log (x² - 1) - ³log (5x + 5) = 0
³log (x² - 1)/(5x + 5) = ³log 1
(x² - 1)/(5x + 5) = 1
(x - 1)(x + 1) / 5(x + 1) = 1
(x - 1)/5 = 1
x - 1 = 5
x = 1 + 5
x = 6
HP = {6}