[tex] 2^{2x-1}-7* 2^{x-1}+5 \leq 0 [/tex]

2²ˣ⁻¹-7*2ˣ⁻¹+5≤02²ˣ/2-7*2ˣ/2+5≤0   I×22²ˣ-7*2ˣ+10≤02ˣ=t  ⇒t²-7t+10=0  D=9t=5  2ˣ=5  log₂2ˣ=log₂5    x=log₂5≈2,32t=2  2ˣ=2   x=1(x-1)(x-2,32)≤0-∞_______+_______1_______-_______2,32_________+_______+∞x∈[1;log₂5].