[(1-log6 3)^2+log6 2·log6 18]·log4 6

=1=[(log6 6-log6 3)^2+log6 2*log6 18]*log4 6=[(log6 2)^2+log6 2*(log6 2+log6 9]*log4 6=[2(log6 2)^2+2log6 2*log6 3]*(1/log6 4)=log6 2+log6 3=1