Exponential function

Revision as of 05:35, 10 November 2006 by Akimatsu (talk | contribs) (exponential functions)

The exponential function is the function $f(x) = e^x$, exponentiation by e. It is a very important function in analysis, both real and complex.


Exponential equations are in one of three forms. $<math>f\left( x \right) = ab^x$</math>, $<math>f\left( x \right) = ae^k$</math>, where e is the irrational constant 2.71828182846...., or $<math>f\left( x \right) = a\left( {{1 \over 2}} \right)^{{x \over h}}$</math> $<math>f\left( x \right) = a\left( 2 \right)^{{x \over d}}$</math>, where h is the half-life (for decay), or d is the doubling time (for growth).

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