X>0
log(2)x=t
(t-5)/(1-2t)-2t≥0
(t-5-2t+4t²)/(t-1)≤0
(4t²-t-5)/(2t-1)≤0
4t²-t-5=0
D=1+80=81
t1=(1-9)/8=-1
t2=(1+9)/8=5/4
2t-1=0
t=0,5
_ + _ +
-------[-1]----------(0,5)----------[1,25]-----
t≤-1⇒log(2)x≤-1⇒x≤0,5
0,5<t≤5/4⇒0,5<log(2)x≤5/4⇒
x∈(0;0,5] U (
.............................................................................................................................
X-5X>-3-5 <span>
-4X</span><span>>-8
</span>X<2
2 х-6<0
2X<6
X<3