Why is it that I never see equations/laws in STEM always using ln(x) and never laws using other log bases

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Why is it that I never see equations/laws in STEM always using ln(x) and never laws using other log bases

In: Mathematics

6 Answers

Anonymous 0 Comments

When you first meet logs you’re pretty much just doing calculations with them on a calculator, so you might as well use whatever base is convenient.

When you get a bit deeper into the topic you find that *ln(x)* is generally easier to work with (as with *e^?*). Sometimes if you are working in a different base you’ll just have to convert it to *e* at some point to make things work.

It is a big enough deal that once you get far enough into maths you stop seeing even *ln(x)* and just see *log(x)*.

It is kind of like how the further you get into STEM subjects the more you default to radians over degrees (or gradians). The easy maths is the same, the harder maths is easier.

The big thing with *e* and *ln* is differentiation/integration, where if you’re working in some other base you have to throw in some extra constants.

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