Question

lg5(lg8+lg1000)+（lg2^√3）^2+lg1/6+lg0.06等于

Answer 1

lg5(lg8+lg1000)+（lg2^√3）^2+lg1/6+lg0.06

=lg5(lg8+lg1000)+(√3*lg2)^2+lg1/6+lg0.06

=lg5(3lg2+3)+3(lg2)^2+lg1-lg6+lg6-lg100

=3lg5 lg2+3lg5+3(lg2)^2-1

=3[lg5 lg2+lg5+(lg2)^2]-1

=3[(lg2+lg5)^2-(lg5)^2-lg2 lg5]-1

=3[-lg5(lg5+lg2)]-1

=-3lg5-1