A function that varies as the power of another quantity. If y=ax, y varies exponentially with x. The function ex, also written as exp(x), is called the exponential function (see e). It is equal to the sum of the exponential series, i.e.
A function of a real variable defined for all real x by the sum to infinity of the (convergent) seriesThe notation reflects the index property that ex×ey=ex+y. The notation ‘exp(x)’ is sometimes used for ex, particularly when x is a complicated algebraic expression. The number e is given by the above series with x = 1, soThe exponential and natural logarithm functions are related by exp (ln x) = x for x>0 and ln (ex) = x for all values of x.
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