问题
填空题
lg2×lg50+(lg5)2=______.
答案
∵lg2×lg50+(lg5)2
=lg2×(1+lg5)+(lg5)2
=lg5(lg5+lg2)+lg2
=lg5+lg2
=1.
故答案为:1.
lg2×lg50+(lg5)2=______.
∵lg2×lg50+(lg5)2
=lg2×(1+lg5)+(lg5)2
=lg5(lg5+lg2)+lg2
=lg5+lg2
=1.
故答案为:1.