Summation of logarithmic functions – math.stackexchange.com

Summation of logarithmic functions – math.stackexchange.com

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The sum of series $\frac{(\log3)^1}{1!}+\frac{(\log3)^3}{3!}+\frac{(\log 3)^5}{5!}+\cdots$ is what? Is there a general algorithm to find the summation of logarithms?

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