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Examples of Logarithms

Logarithms

Post by natttt
Posted on 2011-05-03 12:29:58
A logarithm answers a simple question: How many of one number do we multiply to get another number?

For example:

How many 2s need to be multiplied to get 8?
2 × 2 × 2 = 8, so we needed to multiply 3 of the 2s to get 8
So the logarithm is 3

log2(8) = 3

Examples of logarithms:

log5(625) = 4
We are asking "how many 5s need to be multiplied together to get 625?"
5 × 5 × 5 × 5 = 625, so we need 4 of the 5s

log2(64) = 6
2 × 2 × 2 × 2 × 2 × 2 = 64, so we need 6 of the 2s

log10(100) = 2
102 = 100, as an exponent of 2 is needed to make 10 into 100

log3(81) = 4
34 = 81, so an exponent of 4 is needed to make 3 into 81

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