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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 $log_2(x)$. For instance, how would I go about calculating $log_2(3)$ using the Taylor series?

Thanks!

  • 15
    Since $\log_2(x)=(1/\ln 2)\cdot \ln(x)$ just multiply series by the constant.2012-12-02
  • 0
    Thanks, that's exactly what I was looking for! Kind of obvious though... dunno how I missed it :) Add your comment as an answer and I will accept it!2012-12-02

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