# logarithm

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## log·a·rithm

(log'ă-ridhm),If a number,

*x*, is expressed as a power of another number,*y*, that is, if*x*=*y*^{n}, then n is said to be the logarithm of*x*to base*y*. Common logarithms are to the base 10; natural or Napierian logarithms are to the base e, a mathematical constant. [G.

*logos*, word, ratio, +*arithmos*, number]## logarithm

a mathematical device.

**common logarithm**

the value of the power when a number is expressed as to the power of 10 (has the base 10). Thus 100 expressed as to the power of 10 is 10

^{2}and the log of 100 is 2.**Napierian logarithm**

see natural logarithm (below).

**natural logarithm**

as for common logarithm, except that the base is e or 2.178. Called also Napierian logarithm.

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