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OLOLOLOSH
@OLOLOLOSH
July 2022
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Решите уравнение: f(x-3)=2 -f(x) если f(x)=log2 x
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kmike21
Verified answer
㏒₂(x-3)=2-㏒₂x
x-3>0
x>3
㏒₂(x-3)+㏒₂x=2
㏒₂(x(x-3))=2
㏒₂(x(x-3))=㏒₂4
x(x-3)=4
x²-3x-4=0
D=3²+4*4=25
√D=5
x₁=(3-5)/2=-1-отпадает
x₂=(3+5)/2=4
ответ: х=4
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Answers & Comments
Verified answer
㏒₂(x-3)=2-㏒₂xx-3>0
x>3
㏒₂(x-3)+㏒₂x=2
㏒₂(x(x-3))=2
㏒₂(x(x-3))=㏒₂4
x(x-3)=4
x²-3x-4=0
D=3²+4*4=25
√D=5
x₁=(3-5)/2=-1-отпадает
x₂=(3+5)/2=4
ответ: х=4