Решите лог0.5. ! !!!!!!!!!!!!!!

Question

Решите лог0.5. ! !!!!!!!!!!!!!!

---

Answer 1

(lg0,5(x)+3)/(6*lgx(0,5)^-1-1>=-2
(lg0,5(x)+3)/(1+6/lg(0,5)x<=2<br>lg(0,5)x=t
(t+3)/(1+6/t)<=2<br>t(t+3)/(t+6)-2<=0<br>(t^2+3t-2t-12)/(t+6)<=0<br>(t^2+t-12)/(t+6)<=0<br>t<-6 U [-4;3]<br>x>64
[1/8<x<1) U (1;16] U (64;∞)