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1/(3log6) + 1/(5log6)=
1/(3log3+3log2) + 1/(5log3+5log2)=
1/(1+1/2log3) + 1/(5log2.2log3+b)=
1/(1+1/a) + 1/(ab+b)=
a/(a+1) + 1/[b(a+1)]=
(ab+1)/[b(a+1)]