解对数函数lg5(lg8+lg1000)+(lg2^√3)^2+lg(1/6)+lg0.06

解对数函数lg5(lg8+lg1000)+(lg2^√3)^2+lg(1/6)+lg0.06
解对数函数
lg5(lg8+lg1000)+(lg2^√3)^2+lg(1/6)+lg0.06

解对数函数lg5(lg8+lg1000)+(lg2^√3)^2+lg(1/6)+lg0.06
lg5(lg8+lg1000)+(lg2^√3)^2+lg(1/6)+lg0.06
=lg5(lg2³+lg10³)+(√3lg2)²+lg(1/6*0.06)
=lg5(3lg2+3lg10)+3(lg2)²+lg(0.01)
=3lg5lg2+3lg5+3(lg2)²+lg(10^-2)
=3lg2(lg5+lg2)+3lg5+(-2)
=3lg2+3lg5-2
=3(lg5+lg2)-2
=3-2
=1