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What's the Big Deal?



The natural logarithm shows up a lot in mathematics, but what makes it so special? Sure, it makes a lot of calculations easier like the integral of 1/x and it's convenient to use the definition to rewrite some things, but why does it work? What makes ln natural? Why do we use e as a logarithm base and call it natural? Isn't ten more natural? How are the natural logarithm and e even related? These are some of the questions that I had about the natural logarithm and this webpage shows some of what I've learned about it.