eli5 logarithms in math

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So, I am going into college as a math major with a concentration in secondary education, but despite how much I’ve learnt and understood, the one thing I’ve never been able to wrap my head around is logarithms and how they work, what they do, and things such as that. Anyone know a good way to explain it?

Extraneous questions:
what is *ln*?
What does a subscript after the log mean, especially if it’s not 10?

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4 Answers

Anonymous 0 Comments

Logarithms are the opposite of exponents.

Just like the opposite of multiplication is division, or the opposite of addition is subtraction, the opposite of putting something to a power is the logarithm.

If a = b + c you can reverse it with b = a – c

If a = b × c you can reverse it with b = a ÷ c

If a = c^b you can reverse it with b = log_c(a) (log base c of a)

`Ln` is shorthand for log base `e`. It exists because there’s so much maths around y = e^x etc.

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