计算:(lg2)的平方+lg2*lg5+lg50!

问题描述:

计算:(lg2)的平方+lg2*lg5+lg50!

=2lg2+lg2*lg5+lg5+1=2+lg2(1+lg5)=2+lg2*lg50

(lg2)的平方+lg2*lg5+lg50
=(lg2)的平方+lg2*lg5+lg50
=lg2*(lg2+lg5)+lg50
=lg2+lg50
=lg100
=2

lg2(lg2+lg5)+lg(5×10)
=lg2×1+lg5+lg10
=lg2+lg5+1
=1+1
=2

lg2*lg2+lg2*lg5+lg50
=lg2*(lg2+lg5)+lg50=lg2*lg10+lg50=lg2+lg50=lg100=2