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Гаяя
@Гаяя
July 2022
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Найдите корень уравнения (1/5)^5х-7=625
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zhenyaM2002
Verified answer
(1/5) ^(5x-7) =625
5 ^ - (5x-7) = 5^4
- (5x-7) = 4
-5x+7 =4
-5x=4-7
-5x= -3
x= -3 : (-5) = 3/5
х= 0,6
============
1/5 ^ (5*0.6 - 7 ) = 625
1/5 ^ (3-7) =625
1/5 ^ (-4) =625
1 : (1/625) = 625
1* 625/1 = 625
625 = 625
0 votes
Thanks 1
Гаяя
А не -2,2?
zhenyaM2002
Откуда - 2,2 ? 1/5 ^( -2.2 -7 ) = 1/5 ^ (-9.2 ) .... это точно не 625.
Гаяя
Спасибо)
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Answers & Comments
Verified answer
(1/5) ^(5x-7) =6255 ^ - (5x-7) = 5^4
- (5x-7) = 4
-5x+7 =4
-5x=4-7
-5x= -3
x= -3 : (-5) = 3/5
х= 0,6
============
1/5 ^ (5*0.6 - 7 ) = 625
1/5 ^ (3-7) =625
1/5 ^ (-4) =625
1 : (1/625) = 625
1* 625/1 = 625
625 = 625