I asssume lg2 means log base 2 that is log 2
http://en.wikipedia.org/wiki/List_of_logarithmic_identities
lg2(x+3)-lg2(x-6)=1+lg2(x-2)-lg2(x-4)
lg2(x+3)-lg2(x-6)-lg2(x-2)+lg2(x-4) =1
lg 2 { [(x+3)(x-4)] / [(x-6)(x-2)] } = lg 2(2)
[(x+3)(x-4)] / [(x-6)(x-2)] = 2
etc