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What is a logarithm?

In simple terms a log is asking what power do I need to raise the base to to get that answer.

For example log232.

In this case the "base" is 2.

So what power do you have to raise 2 to, to get 32?

The answer is 5 because 25=32.

Therefore log232=5

Another example log381=4 because 34=81.

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