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Khovan98
@Khovan98
October 2021
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Всем доброго времени суток.
Прошу помочь решить и объяснить номера: 158, 164.
/это показательные уравнения/
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kratgv
Verified answer
(2/3)^(х-1)*(3/2)^3(2-х)=(3/2)^5,
тк 27=3^3 8=2^3
(3/2)^(1-х+6-3х)=(3/2)^5
(3/2)^(7-4x)=(3/2)^5
7-4x=5
4х=7-5
4х=2
х=0,5
№164
3^(x-2)(9-1)=72
3^(x-2)*8=72
3^(x-2)=9
3^(x-2)=3^2
x-2=2
x=4
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Answers & Comments
Verified answer
(2/3)^(х-1)*(3/2)^3(2-х)=(3/2)^5,тк 27=3^3 8=2^3
(3/2)^(1-х+6-3х)=(3/2)^5
(3/2)^(7-4x)=(3/2)^5
7-4x=5
4х=7-5
4х=2
х=0,5
№164
3^(x-2)(9-1)=72
3^(x-2)*8=72
3^(x-2)=9
3^(x-2)=3^2
x-2=2
x=4