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

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

(lg4/lg36)*(lg18/lg6)+(lg3/lg6)^2
=(lg2/lg6)*(lg18/lg6)+(lg3/lg6)^2
=(lg2*lg18+(lg3)^2)/(lg6)^2
=(lg2+lg3)^2/(lg6)^2
=1