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Фартер
@Фартер
July 2022
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log_2(3-x)+log_2(12-x)-log_2(9-x)=2
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sedinalana
ОДЗ
3-x>0⇒x<3
12-x>0⇒x<12
9-x>0⇒x<9
x∈(-∞;3)
log(2)[(3-x)(12-x)/(9-x)=2
(3-x)(12-x)/(9-x)=4
36-3x-12x+x²-36+4x=0
x²-11x=0
x(x-11)=0
x=0
x=11∉ОДЗ
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Answers & Comments
3-x>0⇒x<3
12-x>0⇒x<12
9-x>0⇒x<9
x∈(-∞;3)
log(2)[(3-x)(12-x)/(9-x)=2
(3-x)(12-x)/(9-x)=4
36-3x-12x+x²-36+4x=0
x²-11x=0
x(x-11)=0
x=0
x=11∉ОДЗ