tugas mtk persamaan eksponen sederhana (MINTA TOLONG BGTTT)
Jawab:
Penjelasan dengan langkah-langkah:
[tex]c) 3^{x^2+3x} = 3^{x+8}[/tex]
[tex]x^2+3x =x+8[/tex]
[tex]x^2+2x-8 = 0[/tex]
[tex](x+4)(x-2)[/tex]
[tex]x = -4 \ \text{atau} \ x = 2[/tex]
[tex]d) 25^{x^2-3x+7} = 125^{x-2}[/tex]
[tex]=25^{2(x^2-3x+7)} = 5^{3(x-2)}[/tex]
[tex]= 2(x^2-3x+7) = 3(x-2)[/tex]
[tex]=2x^2-6x+14 = 3x-6[/tex]
[tex]2x^2-9x+20[/tex]
[tex]x = \frac{9 \pm \sqrt{(-9)^2-(4)(2)(20)}}{4}[/tex]
[tex]x_1,_2 = \frac{9\pm \sqrt{-79}}{4}[/tex]
[tex]\text{Akar imajiner, berarti x} \notin \text{R}[/tex]
[answer.2.content]
