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fly36
@fly36
August 2022
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1-log2(x-1)=log2(3x-1)-log2(x+5)
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MizoriesKun
1-㏒₂(х-1)=㏒₂(3х-1)-㏒₂(х+5) ОДЗ х-1>0
x>1
3x-1>0 x>1/3
x+5>0 x>-5
㏒₂2 +㏒₂(х+5) = ㏒₂(3х-1)+㏒₂(х-1)
㏒₂2*(х+5) = ㏒₂(3х-1)*(х-1)
2*(х+5)= (3х-1)*(х-1)
2х+10 = 3х²-х-3х+1
3х²-6х-9=0
D=36+108=144 √D=12
x₁=
(6+12)/6=
3
x₂=(6-12)/6=-1 не подходит под ОДЗ
1 votes
Thanks 4
fly36
дякую)
MizoriesKun
))
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Answers & Comments
3x-1>0 x>1/3
x+5>0 x>-5
㏒₂2 +㏒₂(х+5) = ㏒₂(3х-1)+㏒₂(х-1)
㏒₂2*(х+5) = ㏒₂(3х-1)*(х-1)
2*(х+5)= (3х-1)*(х-1)
2х+10 = 3х²-х-3х+1
3х²-6х-9=0
D=36+108=144 √D=12
x₁=(6+12)/6=3
x₂=(6-12)/6=-1 не подходит под ОДЗ