<span>1) log_3(x)>2 ОДЗ: x>0
x>3</span>²
x>9
x∈(9;+∞)
2. log_0.2(x)>-1 ОДЗ: x>0
x<0.2⁻¹
x<5
x∈(0;5)
3.<span> lg (2x-1) > lg (x+2) ОДЗ: 2x-1>0 => x>0.5
x+2>0 => x>-2
2x-1>x+2
x>3
x</span>∈(3;+∞)
<span>4. log_1/3(3x+1)>log_1/3(x+3) ОДЗ: 3x+1>0 => x>-1/3
x+3>0 => x>-3
3x+1<x+3
2x<2
x<1
x</span>∈(-1/3;1)<span>
</span>
У=5lgx/3;x>0
y/5=lgx/3
x/3=10^(y/5)
x=3*10^(y/5)
обрат.функц.
Y=3*10^(x/5)
<span>8x=6+2(4x-3)
8x=6+8x-6
0=0
x</span>∈R
(√11+√7)²-2(√77+4)=11+2√77+7-2√77-8=10