Решите неравенство 2^(x/(x+1))-2^((5x+3)/(x+1))+8

Решение смотри в приложении

(x+1))...

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(1/(х+1))=у
2^(1-y)-2^(5-2y)+8<2^(2-2y)
(1-y)=z
2^z-8*2^2z+8<2^2z
2^z=q
9q^2-q>8
q^2-2*q/18>8/9
q^2-2*q/18+1/324>288/324+1/324
(q+1/18)^2>(17/18)^2
q>16/18
q>8/9
9*2^z>8
z>log2 8-2log2(3)=3-2log2 (3)
1-y>3-2log2 (3)
y<2log2(3)-2
1/(x+1)<2log2(3)-2
1) x<-1
2)x+1>1/(2log2(3)-2)
x>(1/(2log2(3)-2))-1
Ответ: x<-1 или x>(1/(2log2(3)-2))-1
ответ некрасивый, но, надеюсь, верный. Завтра проверю.

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Verified answer

(x+1))...

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