1) ОДЗ : Х>0Log0,5 xОснование логарифма 0,5<1Знак меняемХ>0,52) ОДЗ: Х>0Lg x<2Lg10 Lg x< Lg10^2 Lg x< Lg100Основание логарифма 10>1 знак оставляемХ<1003)ОДЗ: 5х-1>0 Х>1/5Log1/3 (5x-1)> -2Log1/3(5x-1)> -2log1/3 1/3Log1/3(5x-1)>log1/3 1/3^-2Log1/3(5x-1)>log1/3 91/3<1 знак меняем5х-1<95х<10Х<2\\\\\\\\\\\\\\\\\\\\\\------(1/5)---------(2)-------- ///////////////////////Х€(1/5; 2)4)ОДЗ: 3х-2>03х>2. Х>2/3Log5 (3x-2)<2Log5 5Log5 (3x-2)Log5(3x-2)Основание 5>1 знак оставляем3х-2<253х<27Х<9 \\\\\\\\\\\\\\\\\\\\\-------(2/3)------(9)-------- ///////////////////////Х€(2/3; 9)5.одз: 2х+1>0. 2х>-1Х> -1/2Log1/4(2x+1)> -1Log1/4 1/4Log1/4(2x+1)>Log1/4 (1/4)^-1Log1/4(2x+1)>Log1/4 41/4<1 знак меняем2х+1<42х<3Х<3/2\\\\\\\\\\\\\\\\\\\\\\\------(-1/2)--------(3/2)---- ///////////////////////Х€(-1/2; 3/2)6. 3х+1>0. Х> -1/3 {Х+3>0. {Х> -3 /////////////////////////----(-3)------(-1/3)---------- \\\\\\\\\\\\\\Х> -1/33х+1 <Х+3(Знак сменили те 1/3<1)2х<2Х<1\\\\\\\\\\\\\\\\\\\\\\-------(-1/3)-------(1)--------- //////////////////////Х€(-1/3; 1)Попробуй это просто!Не получится пиши, доделаю!