Updates:
        Status: Invalid

Comment #4 on issue 2540 by asmeurer: log() not working properly
http://code.google.com/p/sympy/issues/detail?id=2540

Exactly. If you look right above that line in the test file, you can see that p and q are defined as

p, q = symbols('p,q', positive=True)
r = Symbol('r', real=True)

And furthermore, above that, there are tests for vanilla x and y symbols like

assert log(x*y) != log(x) + log(y)
assert log(x/y).expand() != log(x) - log(y)

The force keyword overrides this because that's what it was designed to do! It "forces" the expansion to happen, even if the assumptions don't allow it.

And as to that examples page, it says at the top "Note: This document was superseded by Tutorial, that contains everything here plus much more.", and it has the Deprecated tag, which means that it is no longer valid (and shouldn't appear with the other wiki pages).

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