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Because when the system of logarithms with the base 'e' was defined and

tabulated, it was entitled with the identifying label of "Natural Logarithms".

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My improvement: The natural log base is e (a numerical constant of about 2.718). It is chosen as a log base since there is a mathematical series (a "string" of mathematical numerical terms to be summed) for calculating a logarithm (ie. exponent of the base) of a number, which has a base of e. Series for calculating logarithms with bases other than e have basically not been developed.

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Q: Why natural log has base e?
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