An Intuitive Guide To Exponential Functions & E

The best explanation of what e really is and how to use.

e has always bothered me — not the letter, but the mathematical constant. What does it really mean?

Math books and even my beloved wikipedia describe e using obtuse jargon:

The mathematical constant e is the base of the natural logarithm.

And when you look up natural logarithm you get:

The natural logarithm, formerly known as the hyperbolic logarithm, is the logarithm to the base e, where e is an irrational constant approximately equal to 2.718281828459.

Nice circular reference there. It’s like a dictionary that defines labyrinthine with Byzantine: it’s correct but not helpful. What’s wrong with everyday words like “complicated”?

Good post…

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