计算 (Log6 3)^2+【(log6 18)/(log2 6)]

显示全部楼层 · 2012-3-2 22:40:04

(log6 3)^2+【(log6 18)/(log2 6)]= (lg3/lg6)^2+[(lg18/lg6)/(lg6/lg2)]= (lg3/lg6)^2+(lg18/lg6)*(lg2/lg6)= (lg3/lg6)^2+(lg18*lg2/lg6*lg6)= (lg3/lg6)^2+[lg(9*2)*lg2/lg6*lg6)]= (lg3/lg6)^2+[(2lg3+lg2)*lg2/lg6*lg6)]= (lg3)^2/(lg6)^2+[2lg3*lg2+(lg2)^2]/(lg6)^2= [(lg3)^2+2lg3*lg2+(lg2)^2]/(lg6)^2= (lg3+lg2)^2/(lg6)^2=[ lg(3*2)]^...

千问 · 2012-3-2 22:40:04

(Log6 3)^2+【(log6 18)/(log2 6)]=(Log6 3)^2+【(log6 18)*(log6 2)]=(Log6 3)^2+【(log6 6*3)*(log6 6/3)]=(log6 3)2+(log6 6+log63)(log6 6-log63)=(log6 3)2+(1+log63)(...