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Jeta3
@Jeta3
July 2022
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за 45 б помогите пожалуйста. решение на листке если можно
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kirichekov
Verified answer
Log₈(8^x+12)=2-x
8^(2-x)=8^x+12
8² *8^(-x)-8^x-12=0
64/8^x-8^x-12=0 |*8^x
64-(8^x)²-12*8^x=0
8^x=t, t>0
t²+12t-64=0
t₁=-16, -16<0
t₂=4
8^x=4
(2³)^x=2²
2^(3x)=2²
3x=2
x=2/3
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Answers & Comments
Verified answer
Log₈(8^x+12)=2-x8^(2-x)=8^x+12
8² *8^(-x)-8^x-12=0
64/8^x-8^x-12=0 |*8^x
64-(8^x)²-12*8^x=0
8^x=t, t>0
t²+12t-64=0
t₁=-16, -16<0
t₂=4
8^x=4
(2³)^x=2²
2^(3x)=2²
3x=2
x=2/3