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megafoma1
@megafoma1
July 2022
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Решите 1 задание.25 баллов даю
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Gerren
Verified answer
(0,2)^(2-3x)=25
0,2=1/5=5^(-1)
5^(-(2-3x)=5^2
5^(3x-2)=5^2
3x-2=2
3x=4
x=4/3
2) 4^x-9*2^x+20=0
4=2^2
2^2x-9*2^x+20=0
2^x=a a>0
a^2-9a+20=0
a1=4 a2=5
2^x=4
2^x=2^2
x=2
2^x=5
x=log2(5)
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Answers & Comments
Verified answer
(0,2)^(2-3x)=250,2=1/5=5^(-1)
5^(-(2-3x)=5^2
5^(3x-2)=5^2
3x-2=2
3x=4
x=4/3
2) 4^x-9*2^x+20=0
4=2^2
2^2x-9*2^x+20=0
2^x=a a>0
a^2-9a+20=0
a1=4 a2=5
2^x=4
2^x=2^2
x=2
2^x=5
x=log2(5)