(LOG6 3)^2+(log618)/(log26)
问题描述:
(LOG6 3)^2+(log618)/(log26)
答
(log6 3)^2+(log618)/(log2 6)=(lg3/lg6)^2+(lg18/lg6)/(lg6/lg2)=(lg3 / lg6)^2+[ (2lg3+lg2) / lg6) *(lg2 / lg6)=(lg3)^2+(2lg3lg2/+(lg2 )^2 / (lg6)^2=(lg3+lg2))^2 / (lg6)^2=1