The logarithm of a number N to a given base h is the power to which the base must be raised to produce the number. It is written as logb N, or as log N if the base is implied by the context. There are two systems of logarithms in common use: a common or Briggs' logarithms, with base 10. If N is any number, it can be written in the form N= 10" x A1 where n is an integer and M is between one and 10 so that log N=n+og/l. n is called the characteristic of the logarithm and log Al, which is obtained from tables, the mantissa, b natural or Napierian or hyperbolic logarithms with base e =2-718...

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