8* (3^(x-2)/(3^x-2^x)) > 1 + (2/3)^x
8/9 * 3^x/(3^x-2^x) > 1+ (2/3)^x
8/9 * 1/(1-(2^x/3^x)) > 1+(2/3)^x
8/9 * 1/(1-(2/3)^x) > 1 + (2/3)^x
t=(2/3)^x
8/9 * 1/(1-t) > 1 + t
8/9(1-t)>1+t
8/9(1-t)-(1+t)>0
8-9(1-t^2)/9(1-t)>0
8-9+9t^2/(1-t)>0
9t^2-1/(1-t)>0
(t-1/3)(t+1/3)/(t-1)<0<br>
- + - +
----(-1/3)------(1/3)-----(1)----->x
[t<-1/3<br>[1/3
[(2/3)^x<-1/3 (решений нет)<br>[1/3<(2/3)^x<1<br>0