lg2^(1/2)+lg3l+g10^(1/2)=(1/2)lg2+lg3+(1/2)lg10=(1/2)[lg2++2lg3+lg10]=(1/2)lg[2(3^2)/10)=(1/2))lg(2x9/10)=(1/2)lg(18/10)=(1/2)lg1.8.原式=(1/2)(lg1.8)/(lg1.8)=1/2.