eli5: What exactly is a logarithm?

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eli5: What exactly is a logarithm?

In: Mathematics

6 Answers

Anonymous 0 Comments

It is just another function: log(x)

It takes an ‘x’ and it gives you a ‘y’
log(x) = y

It is defined as the inverse of the exponential function (some examples: 2^x, 77^x , e^x ).

What is an inverse function? It is easier to understand with examples:

Let’s say: 2^x = y

if x=3 then y = 2^3 = 8

Its inverse: log_2 (x) = y
does the opposite

if x = 8 then y = 3

——- Another example —–

if x = 5 then y = 2^5 = 32

Its inverse: log_2 (x) = y
does the opposite

if x = 32 then y = 5

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