log36(4)/log18(6)+log^2 6(3)=

问题描述:

log36(4)/log18(6)+log^2 6(3)=
答案是1

log36(4))/(log18(6))+log^2 6(3)
原式=(log2(4)/log2(36))*(log2(18)/log2(6))+log^2 2(3))/log^2 2(6)
=(2/2+2log2(3))*((1+2log2(3))/1+2log2(3))+log^2 2(3))/log^2 2(6)
=((1+2log2(3)+log^2 2(3)))/log^2 2(6)
=1