I mean, I’ve used them in algebra many times but I never really understood what it does. Kinda like in biostatistics how I could do the math, but how it worked was beyond me entirely.

So yeah: like what’s this sorcery and what does it do/why do we use it?

A table of logarithms is what you had to use before calculators to take roots and exponents. You can take a logarithm of a number divide it by 3 if you wanted the third root then look up the inverse. Also some physics and biology equations follow a logarithmic curve

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