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Logarithm


 

In mathematics, a logarithm is a function that gives the in the equation bn = x. It is usually written as logb x = n. For example:

Logarithms and exponentials: inverses

For each base (b in bn), there is one logarithm function and one exponential function; they are inverse functions. With bn = x:

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  • Exponentials determine x when given n; to find x, they multiply 1 by b as many times as (n).
  • Logarithms determine n when given x; n is the number of times that x must be divided by b to reach 1.