Https://static-kruzhok2.metaschool.ru/studio/40/img/003-19-8.pngрешите мне откройте эту ссылку

 1)log4(2x-6)<1; ==> log4(2x-6)<log4(4)  ==>  2x-6 < 4 ==>  2x < 4+6  ==>  x < 10/2=5

2) log0,3(3x-5)<0;  ==>  log0,3(3x-5)<log0,3(1)<0 ==>  3x-5 < 1  ==> 3x < 1+5 ==> x < 6/3 = 2

остальные решаешь аналогично

 3) x>5

4) x>12

5) x>9

6)log1/x(x-5)<-2  ==>  log1/x(x-5)< log1/x((1/x)^(-2))  ==> log1/x(x-5)< log1/x(x^2) ==> 

==> x-5 < x^2  ==> x^2 - x +5 >0

вычисляем производную = 2х -1 

приравниваем к нулю и навходим точку минимума

2х -1 = 0  ==>  x=1/2 = 0.5

в этой точке  x^2 - x +5 = 0.5^2 - 0.5 +5 = 4.75  ==>

неравенство выполняется при всех значения х

32/5 = 17/5 1 5/6 = 11/6 3 8/11 = 41/11 1 51/53 = 104/53 2 6/13 = 32/13 7 1/5 = 36/5 5 5/11 = 60/11 6 2/7 = 44/7 3 1/9 = 28/9 7 3/7 = 52/7 17 2/3 = 53/3 5 2/5 = 27/5 3 5/12 = 41/12 29 1/2 = 59/2 7 5/8 = 61/8 9 3/4 = 39/4 11 3/5 = 58/5 13 1/2 = 27/2 3 3/4 = 15/4 2 1/4= 9/4 2 8/9 = 26/9 10 2/3 = 32/3 7 4/5 = 39/5 3 5/6 = 23/6 13 4/9 = 121/9 5 7/8 = 47/8 4 5/7 = 33/7 7/12+3/12 = 10/12 = 5/6 3/7+2/7 = 5/7 13/55-5/55 = 8/55 11/18-7/18 = 4/18 = 2/9 7/10+1/10 = 8/10 = 4/5 15/8-7/8 = 8/8 = 1 12/15+7/15 = 19/15 = 1 4/15 45/100+35/100 = 80/100 = 4/5 65/76-25/76 = 40/76 = 10/19 46/100-41/100 = 5/100 = 1/20 4/5-3/5 = 1/5 4/11+6/1 = 6 4/11 7/8-5/8 = 2/8 = 1/4 77-67/100 = 76 33/100 6/13+7/13 = 13/13 = 1 43/56-33/56 = 10/56 = 5/28 6/23+20/23 = 26/23 = 1 3/23 4/7+2/7 = 6/7 3/4+3/4 = 6/4 = 1 1/2 5/6-1/6 = 4/6 = 2/3 7+1/5 = 7 1/5 3-4/7 = 2 3/7 1-6/11 = 5/11 1+3 5/7 = 4 5/7 8 2/5+3 = 11 2/5 7-4/9 = 2 5/9 8 7/9-6 = 2 7/9 4+1 3/5 = 5 3/5 7-2 1/2 = 4 1/2