ПРОШУ ПОМОГИТЕ!!!!!!!!! 1)log3(x+1)<-2 2) Log0.2(3x-5)-log0.2(x+1) >= 0 3)...

1) ОДЗ: x+1>0
x> -1

x+1<3⁻²<br>x+1<1/9<br>x< 1/9 - 1
x< -8/9

x∈(-1; -8/9)
Ответ: (-1; -8/9)

2) ОДЗ: 3x-5>0 x+1>0
3x>5 x> -1
x>5/3
x>1 ²/₃
x> 1 ²/₃

$\frac{3x-5}{x+1} \leq 0.2^{0} \\ \frac{3x-5}{x+1} \leq 1 \\ \frac{3x-5-(x+1)}{x+1} \leq 0 \\ \frac{3x-5-x-1}{x+1} \leq 0 \\ \frac{2x-6}{x+1} \leq 0 \\ (2x-6)(x+1) \leq 0 \\ 2(x-3)(x+1) \leq 0 \\ (x-3)(x+1) \leq 0 \\ x=3 x=-1 \\$
+ - +
---------- -1 --------- 3 ---------
\\\\\\\\\\\
x∈[-1; 3]

x∈(1 ²/₃; 3]
Ответ: (1 ²/₃; 3]