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alexeykachlev
@alexeykachlev
October 2021
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5^(4x)-6*5^(2x)+5<0
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dasdasfa
5^(4x) -6* 5^(2x)+5<0 + - +
t=5^(2x); t>0; t^2 -6t+5<0; t1=1;t2=5 -----------1-----------5----------->t
t⊂(1;5)
1<5^(2x)<5
5^0 <5^(2x)<5^1 ; 5>1; возрастающая ф-я
0<2x<1; 0<x<0,5
Ответ.(0;0,5)
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Answers & Comments
t=5^(2x); t>0; t^2 -6t+5<0; t1=1;t2=5 -----------1-----------5----------->t
t⊂(1;5)
1<5^(2x)<5
5^0 <5^(2x)<5^1 ; 5>1; возрастающая ф-я
0<2x<1; 0<x<0,5
Ответ.(0;0,5)