It’s not so much that things are “based around” e. It’s like how one or zero show up a lot because of how basic arithmetic works. Add zero to anything, and the value remains the same, subtract any number from itself and you get zero, multiply anything by one and it stays the same… It’s much more obvious how one and zero are fundamental to the basic functions (+-“/) but e has a similar relationship to exponentials (x^y) and logarithms. It’s baked in and as a result it pops out frequently.
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