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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⇒![\sqrt{2} \ \textless \ x \leq 2 \sqrt[4]{2}](https://tex.z-dn.net/?f=+%5Csqrt%7B2%7D+%5C+%5Ctextless+%5C+x+%5Cleq+2+%5Csqrt%5B4%5D%7B2%7D+)
x∈(0;0,5] U (![( \sqrt{2} ;2 \sqrt[4]{2]}](https://tex.z-dn.net/?f=%28+%5Csqrt%7B2%7D+%3B2+%5Csqrt%5B4%5D%7B2%5D%7D+)
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 (
