lg2^5+2lg2xlg5+2(lg2)^2=
问题描述:
lg2^5+2lg2xlg5+2(lg2)^2=
答
原式=5lg2+2lg2xlg5+2(lg2)^2=lg2(5+2lg5+2lg2)=lg2(5+2(lg5+lg2))=lg2(5+2*lg(5*2))=lg2*(5+2)=7lg2
lg2^5+2lg2xlg5+2(lg2)^2=
原式=5lg2+2lg2xlg5+2(lg2)^2=lg2(5+2lg5+2lg2)=lg2(5+2(lg5+lg2))=lg2(5+2*lg(5*2))=lg2*(5+2)=7lg2