kill(all)$

van=facebook.com/LearningCalculus$

Log(a,u):=log(u)/log(a)$

fullratsimp(Log(2,24)/Log(96,2)-Log(2,192)/Log(12,2));

logp(u,v):=log(u)+log(v)$

logq(u,v):=log(u)-log(v)$

a:logp(2,2)+log(3);

b:6*log(2)+log(3);

c:logp(2,3)+logp(2,2);

d:5*log(2)+log(3);

e:log(2);

-( ((a*b)-(c*d))/(e*e) );

fullratsimp(%);