计算:lg5(lg8+lg1000)+(lg2根号3)的平方+lg1/6+lg0.06 ,

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计算:lg5(lg8+lg1000)+(lg2根号3)的平方+lg1/6+lg0.06 ,

计算:lg5(lg8+lg1000)+(lg2根号3)的平方+lg1/6+lg0.06 ,
计算:lg5(lg8+lg1000)+(lg2根号3)的平方+lg1/6+lg0.06 ,

计算:lg5(lg8+lg1000)+(lg2根号3)的平方+lg1/6+lg0.06 ,
lg5(lg8+lg1000)+(lg2*3^0.5)^2+lg(1/6)+lg0.06
=lg5((lg(2^3))+3)+(lg2)^2*(3^0.5)^2+lg1-lg6+lg(6/100)
=lg5(3*lg2+3)+(lg2)^2*3+lg1-lg6+lg6-lg100
=lg5(3*lg2+3)+(lg2)^2*3+0-2
=3*lg2*lg5+3*lg5+3*(lg2)^2-2
=3*lg2*lg5+3*(lg2)^2+3*lg5-2
=3*lg2*(lg5+lg2)+3*lg5-2
=3*lg2*(lg(5*2))+3*lg5-2
=3*lg2+3*lg5-2
=3*(lg2+lg5)-2
=3*(lg(2*5))-2
=3-2
=1

原式=lg5(lg2³+lg10³)+(√3lg2)²+lg6^(-1)+lg(6/10²)
=lg5(3lg2+3)+3lg²2-lg6+lg6-lg10²
=3lg2lg5+3lg5+3lg²2-2
=3lg2(lg5+lg2)+3lg5-2
=3lg2+3lg5-2
=3(lg2+lg5)-2
=3-2
=1