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Closed form expressions for a logarithm of general multivector (MV) inbase-free form in real geometric algebras (GAs) Cl(p,q) are presented for alln=p+q=3. In contrast to logarithm of complex numbers (isomorphic to Cl(0,1), 3Dlogarithmic functions, due to appearance of two double angle arc tangentfunctions, allow to include two sets of sheets characterized by discretecoefficients. Formulas for generic and special cases of individual blades andtheir combinations are provided.

Logarithm of multivector in real 3D Clifford algebras