The detailed process of [log6 (4) / log6 (36)] / [log6 (6) / log6 (18)] evaluation,

The detailed process of [log6 (4) / log6 (36)] / [log6 (6) / log6 (18)] evaluation,

[log6(4)/log6(36)]/[log6(6)/log6(18)]
=[log6(4)/2]/[1/log6(18)]
=[log6(4)*log6(18)]/2
=log6(2)*log6(18)
=log6(2)*(log6(3)+1)
=log6(2)*log6(3)+log6(2)