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A natural logarithm is a logarithm with the base of e, which is a prevalent and fundamental constant in much of mathematics. The reason we call this logarithm a natural logarithm is because of e's tendency to show up in much of mathematics. In a sense, e is natural to math. Conversely to this idea, the notion of a base 10 counting system is actually rather new, societies have used many different numeral systems in the past. In fact, irrational decimals represent numbers that can never be full explained using a particular numeral system and it would seem from this that grouping things in powers of 10 is particularly "unnatural".

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Q: Why do you think natural logarithms are called natural?
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