lg5*lg20+lg²2=lg5*(lg(5*4))+lg²2=lg5*(lg5+lg4)+lg²2=
=lg²5+lg5*lg2²+lg²2=lg²5+2lg5*lg2+lg²2=(lg5+lg2)²=(lg(5*2))²=lg²10=1²=1
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lg5*lg20+lg²2=lg5*(lg(5*4))+lg²2=lg5*(lg5+lg4)+lg²2=
=lg²5+lg5*lg2²+lg²2=lg²5+2lg5*lg2+lg²2=(lg5+lg2)²=(lg(5*2))²=lg²10=1²=1