(1/3)^x+2+5*(1/3)^x+1-(1/3)^x<7

Question

(1/3)^x+2+5*(1/3)^x+1-(1/3)^x<7

Answer 1

(1/3)ˣ⁺²+5*(1/3)ˣ⁺¹-(1/3)ˣ<7<br>(1/3)²*(1/3)ˣ+(5/3)*(1/3)ˣ-(1/3)ˣ<7<br>(1/9)*(1/3)ˣ+(2/3)*(1/3)ˣ<7<br>(7/9)*(1/3)ˣ<7   |÷7<br>(1/9)*(1/3)ˣ<1<br>(1/3)ˣ<9<br>(1/3)ˣ<(1/3)⁻²<br>x>-2
Ответ: x∈(-2;+∞).