Is there any Mathematica command with which I can combine a sum of logarithms into a logarithm of a product?
Log[a]+Log[b] -> Log[a*b], Log[a]-Log[b] -> Log[a/b], etc.
Perhaps
In[6]:= FullSimplify[Log[a] + Log[b], a > 0 && b > 0] Out[6]= Log[a b] In[7]:= FullSimplify[Log[a] - Log[b], a > 0 && b > 0] Out[7]= Log[a/b]
is what you're after.
