Задача 73675 ...

5f42a255b5ac0b3cc606fbf7

23.10.2023 20:24:00

0,9^(log(0,9)(x^2+x)) ≤ 6^(log6(x+3))

5f3ea7e3faf909182968ddd9

23.10.2023 20:57:39

★

[m]\left\{\begin {matrix}x^2+x>0\\x+3>0\\x^2+x<x+3\end {matrix}\right.[/m]

[m]\left\{\begin {matrix}x(x+1)>0\\x>-3\\x^2-3<0\end {matrix}\right.[/m]

[m]\left\{\begin {matrix}x(x+1)>0\\x>-3\\x^2-3 ≤ 0\end {matrix}\right.[/m]

[m]\left\{\begin {matrix}x<-1; x>0\\x>-3\\-\sqrt{3} ≤ x ≤ \sqrt{3}\end {matrix}\right.[/m]


О т в е т.[m] [-\sqrt{3};-1)\cup(0;\sqrt{3})[/m]