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Raccоon
@Raccоon
August 2022
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log^2 основания 3 (x-1)-2log основания 1\3 9\(x-1)=2^log2 7
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ВладимирБ
Verified answer
Решение смотри в приложении
3 votes
Thanks 4
sedinalana
Verified answer
ОДЗ
x-1>0⇒x>1
x∈(1;∞)
перейдем к основанию 3
log²(3)(x-1)-2log(3)[(x-1)/9]=2^log(2)7
log²(3)(x-1)-2log(3)(x-1)+4=7
log(2)3(x-1)=a
a²-2a-3=0
a1+a2=2 U a1*a2=-3
a1=-1⇒log(3)(x-1)=-1⇒x-1=1/3⇒x=1 1/3
a2=3⇒log(3)(x-1)=3⇒x-1=27⇒x=28
1 votes
Thanks 2
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Answers & Comments
Verified answer
Решение смотри в приложенииVerified answer
ОДЗx-1>0⇒x>1
x∈(1;∞)
перейдем к основанию 3
log²(3)(x-1)-2log(3)[(x-1)/9]=2^log(2)7
log²(3)(x-1)-2log(3)(x-1)+4=7
log(2)3(x-1)=a
a²-2a-3=0
a1+a2=2 U a1*a2=-3
a1=-1⇒log(3)(x-1)=-1⇒x-1=1/3⇒x=1 1/3
a2=3⇒log(3)(x-1)=3⇒x-1=27⇒x=28