LOGARITHM

Logarithm

The logarithm of a number is the exponent to which another fixed value, the base, must be raised to produce that number. For example, the logarithm of 1000 to base 10 is 3, because 1000 is 10 to the power 3: More generally, if x = by, then y is the logarithm of x to base b, and is written y = logb, so log10 = 3.

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logarithm

Noun

  1. For a number <math>x</math>, the power to which a given base number must be raised in order to obtain <math>x</math>. Written <math>\log_b x</math>. For example, <math>\log_{10} 1000 = 3</math> because <math>10^3 = 1000</math> and <math>\log_2 16 = 4</math> because <math>2^4 = 16</math>.
    For a currency which uses denominations of 1, 2, 5, 10, 20, 50, 100, 200, 500, 1000, etc., each jump in the base-10 logarithm from one denomination to the next higher is either 0.3010 or 0.3979.


The above text is a snippet from Wiktionary: logarithm
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