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frencheuphoria
@frencheuphoria
July 2022
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Помогите пожалуйста решить показательное уравнение
8^x-3*4^x-3*2^(x+1)+8=0
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mmb1
Verified answer
8^x-3*4^x-3*2^(x+1)+8=0
2^3x-3*2^2x-3*2^(x+1)+8=0
(2^x+2)()2^2x-22^x+4)-32^x(2^x+2)=0
(2^x+2)(2^2x-2*2^x+4-3*2^x)=0
2^x+2=0 никогда
2^x=t
t^2-5t+4=0
t1=1
2^x=1
x=0
t2=4
2^x=4
x=2
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Answers & Comments
Verified answer
8^x-3*4^x-3*2^(x+1)+8=02^3x-3*2^2x-3*2^(x+1)+8=0
(2^x+2)()2^2x-22^x+4)-32^x(2^x+2)=0
(2^x+2)(2^2x-2*2^x+4-3*2^x)=0
2^x+2=0 никогда
2^x=t
t^2-5t+4=0
t1=1
2^x=1
x=0
t2=4
2^x=4
x=2