tolong dijawab gan pake cara.... nomor 4
Matematika
Edwardp
Pertanyaan
tolong dijawab gan pake cara.... nomor 4
1 Jawaban
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1. Jawaban arsetpopeye
3logx + 3log(2x - 3) < 3
3logx(2x - 3) < 3log3^3
3log(2x^2 - 3x) < 3log27
2x^2 - 3x < 27
2x^2 - 3x - 27 < 0
(2x - 9)(x + 3) < 0
x = 9/2 atau x = -3
Garis bilangan :
++++ (-3) ---- (9/2) ++++ => ambil daerah yang negatif
Syarat :
1) x > 0
2) 2x - 3 > 0 => 2x > 3 => x > 3/2
Irisan himpunan penyelesaian
............. (-3) xxxxxxxxxxxxxx (9/2) ...............
1) ....................... (0) xxxxxxxxxxxxxxxxxxxx
2) ................................. (3/2) xxxxxxxxxxxxx
Irisan : 3/2 < x < 9/2