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Evaluating standard functions of general quaternions symbolically

Mathematica can easily compute exponentials and logarithms of concrete quaternions: ...
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Log of a Quaternion

My mathematica Input[In] code: ***q = Quaternion[0.1, 0.2, 0.3, 0.4] t=Log[q] QuaternionQ[t]*** Resepective results[Out] from Mathematica 9.0: ...