![]() ![]() However, when you start using derivatives and integrals (calculus) you find that e and the natural log are indispensable and surprisingly natural. Without calculus they’re not particularly special. If you’re in pre-calculus, or economics, or some other course that may not involve calculus directly, then chances are that you could just as easily be using log 10 or log 2 instead of and it wouldn’t make much difference (as long as you’re consistent). Almost all of the uses and importance of e and ln are from results in calculus, but those results are so far reaching that they’ve become the standard and have worked their way into everything. Physicist: “e” shows up on its own a lot, and the frequent appearance of the natural log, “ “, follows from that.
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