(1)原不等式化为:lg(x-1)<lg10∴ x?1>0 x?1<10 ∴1<x<11∴原不等式的解集是:{x|1<x<11}(2)∵(x 1 2 ?x? 1 2 )2=x+x-1-2=7.∴x 1 2 ?x? 1 2 =± 7