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Examples of Logarithms
Logarithms
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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Post by 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
Is this example useful?
NOTo share this example, copy and paste this code into your website, blog or forum:
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