Решите неравенство: lg²х < lg х⁵- 6. Created by klimenkol21. algebra-ru

Решите неравенство: lg²х

klimenkol21 @klimenkol21

March 2022 1 23 Report

Решите неравенство:
lg²х < lg х⁵- 6

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sangers1959

Verified answer

Lg²x<lgx⁵-6 ОДЗ: x>0
lg²x-5*lgx+6<0
lg²x-5*lgx+6=0 D=1
lgx=3 x=10³x x=1000
lgx=2 x=10² x=100 ⇒
(x-100)*(x-1000)<0
-∞______+_____100_____-_____1000_____+_____+∞
Ответ: x∈(100;1000).

2 votes Thanks 2

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