Comment #2 on issue 2004 by asmeurer: more autosimplification of exp http://code.google.com/p/sympy/issues/detail?id=2004
Why do you have to have exp(2*i*log(x)) instead of just exp(i*log(x))? I think the log power identities are valid as long as x and y are positive for log(x) + log(y) <=> log(x*y) and as long as a is real for a*log(x) <=> log(x**a).
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