Sunday, 16 December 2018

Taylor series expansion of base 2 logarithms

Sorry for the noob question, but I've been hitting my head against the wall on this for a while.



I am looking for a Taylor series expansion of a logarithm other than the natural logarithm ln(x). It seems that every piece of literature I've been going through treats solely the natural logarithm and not logarithms in other bases.



In particular, I would like to know the Taylor series corresponding to the binary logarithm log2(x). For instance, how would I go about calculating log2(3) using the Taylor series?



Thanks!

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