6 yang a persamaan logaritma
Matematika
rin119
Pertanyaan
6 yang a persamaan logaritma
1 Jawaban
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1. Jawaban m1a2u3l4i5d6i7a8
[tex]{3}^{ {x}^{2} + 5x - 10} \leqslant {9}^{x - 3} \\ {3}^{ {x}^{2} + 5x - 10} \leqslant ({3}^{2})^{x - 3} \\ {3}^{ {x}^{2} + 5x - 10} \leqslant {3}^{2x - 6} \\ {x}^{2} + 5x - 10 \leqslant 2x - 6 \\ {x}^{2} + 5x - 2x - 10 + 6 \leqslant 0 \\ {x}^{2} + 3x - 4 \leqslant 0 \\ (x + 4)(x - 1) = 0 \\ x = - 4 \: atau \: x = 1 [/tex]
HP = {x|-4 ≤ x ≤ 1}