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cavid93267
@cavid93267
July 2022
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kirichekov
Verified answer
Прологарифмируем
(1+log(2)x)*log(2)x=log(2)4
log²(2)x+log(2)x-2=0
log(2)x=a
a²+a-2=0
a1+a2=-1 U a1*a2=-2
a1=-2⇒log(2)x=-2⇒x=1/4
a2=1⇒log(2)x=1⇒x=2
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Answers & Comments
Verified answer
Прологарифмируем(1+log(2)x)*log(2)x=log(2)4
log²(2)x+log(2)x-2=0
log(2)x=a
a²+a-2=0
a1+a2=-1 U a1*a2=-2
a1=-2⇒log(2)x=-2⇒x=1/4
a2=1⇒log(2)x=1⇒x=2