54=3*3*3*2=2*3^3
lg√54=1/2*lg54=1/2*lg(3*3*3*2)=1/2*(lg3^3+lg2)=1/2*(3*lg3+lg2)=3/2*lg3+1/2*lg2
怕有歧义:
=1.5lg3+0.5lg2