Log6 (5x-2)>3 log6 2+2
Log₆(5x-2)>3log₆2+2 log₆(5x-2)>log₆2³+2 log₆(5x-2)-log₆8>2 log₆((5x-2)/8)>2 2=log₆6²=log₆36 log₆((5x-2)/8)>log₆36 6>1, знак не меняем {5x-2>0 {5x>2 {x>2,5 (5x-2)/8>36 5x-2>288 x>57,2 x>57,2. x∈(57,2;∞)