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uchernovolova
@uchernovolova
June 2022
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tolya91
2)(1/4)^(5x+1)=64^x
4^(x)·4^(x)·4^(x)·4^(5x+1)=1
4·4^(8x)=1
4^(8x-1)=1
8x-1=0
x=-1/8
3)7^(2x-3)=4^(3-2x)
(4^(3-2x))/(7^(2x-3))=1
1/((4^(2x-3)·7^(2x-3))=1
28^(2x-3)=1
2x-3=0
x=3/2
4)x²-4x+3=2x²+x+3
x²+5x=0
x(x+5)=0
x=0
x=-5
5)8·4^(x)-6·2^(x)+1=0
пусть 2^(x)=t
8t²-6t+1=0
D=36-32=4
t=(6+2)/16=1/2
t=(6-2)/16=1/4
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Answers & Comments
4^(x)·4^(x)·4^(x)·4^(5x+1)=1
4·4^(8x)=1
4^(8x-1)=1
8x-1=0
x=-1/8
3)7^(2x-3)=4^(3-2x)
(4^(3-2x))/(7^(2x-3))=1
1/((4^(2x-3)·7^(2x-3))=1
28^(2x-3)=1
2x-3=0
x=3/2
4)x²-4x+3=2x²+x+3
x²+5x=0
x(x+5)=0
x=0
x=-5
5)8·4^(x)-6·2^(x)+1=0
пусть 2^(x)=t
8t²-6t+1=0
D=36-32=4
t=(6+2)/16=1/2
t=(6-2)/16=1/4