lg25+lg2lg50+(lg2)^2=

问题描述:

lg25+lg2lg50+(lg2)^2=
THANKS.

lg25 + lg2*lg50 + (lg2)^2
= lg25 + lg2*(1 + lg5) + (lg2)^2
= lg25 + lg2 + lg2*lg5 + lg2*lg2
= (lg25 + lg2) + lg2(lg5 + lg2)
= lg50 + lg2
= lg100
= 2