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womenман
@womenман
August 2022
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Решите логарифмы, системы уравнений
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irinan2014
Verified answer
Решение смотри во вложении.
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sangers1959
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Log√2 (x-y)=2 x-y=(√2)^2 x-y=2 y=x-2
2^x*5^(x-2*y)=40
2^x*5^(x-2*(x-2))=40
2^x*5^(x-2x+4)=40
2^x*5^(-x+4)=40
2^x*5^(-x)*5^4=40
2^x/5^4=40/5^4
0,4^x=0,064
0,4^x=0,4^3
x=3.
Ответ: х=3.
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Verified answer
Решение смотри во вложении.Verified answer
Log√2 (x-y)=2 x-y=(√2)^2 x-y=2 y=x-22^x*5^(x-2*y)=40
2^x*5^(x-2*(x-2))=40
2^x*5^(x-2x+4)=40
2^x*5^(-x+4)=40
2^x*5^(-x)*5^4=40
2^x/5^4=40/5^4
0,4^x=0,064
0,4^x=0,4^3
x=3.
Ответ: х=3.