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Dear Prof Azeem

Can we compute the Logarithm and Antilogarithm of complex numbers?

Examples

Log(100+2i)

Antilog(2-3i)

Thanks

Prashant

Hi Prashant,

Yes we can, although there are infinitely many solutions to a complex logarithm, all separated by integer multiples of 2πi. We must therefore be sure to define our logarithm properly (e.g. by specifying a branch cut). Having done so, many of the logarithm rules on the real numbers still apply.

Thanks for asking,

Azeem

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Comment | Dear Prof Azeem Thanks. Prashant |

I welcome your questions on algebra, 2D and 3D geometry, parabolic functions and conic sections, and any other mathematical queries you may have.

4 years as a drop-in and by-appointment tutor at Champlain College.
Private tutor for dozens of clients over the past 8 years.**Publications**

CALPHAD: Computer Coupling of Phase Diagrams and Thermochemistry**Education/Credentials**

Bachelor of Science, Major Mathematics and Major Economics, McGill University, 2014.
Diploma of Collegiate Studies; Pure and Applied Science, Champlain College Saint-Lambert, 2010.