Difference between revisions of "Exponential function"

Revision as of 05:39, 10 November 2006

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. $f\left( x \right) = ab^x$ , $f\left( x \right) = ae^k$ , where e is the irrational constant 2.71828182846...., or $f\left( x \right) = a\left( {{1 \over 2}} \right)^{{x \over h}}$ $f\left( x \right) = a\left( 2 \right)^{{x \over d}}$ , where h is the half-life (for decay), or d is the doubling time (for growth).

this page is still under construction...more to come very soon

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-Exponential equations are in one of three forms. <math><math>f\left( x \right) = ab^x </math></math>, <math><math>f\left( x \right) = ae^k </math></math>, where ''e'' is the irrational constant ''2.71828182846....'', or
+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><math>f\left( x \right) = a\left( {{1 \over 2}} \right)^{{x \over h}}
+<math>f\left( x \right) = a\left( {{1 \over 2}} \right)^{{x \over h}}
-</math></math> <math><math>f\left( x \right) = a\left( 2 \right)^{{x \over d}}
+</math> <math>f\left( x \right) = a\left( 2 \right)^{{x \over d}}
-</math></math>, where ''h'' is the half-life (for decay), or ''d'' is the doubling time (for growth).
+</math>, where ''h'' is the half-life (for decay), or ''d'' is the doubling time (for growth).
 ''this page is still under construction...more to come very soon''

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Difference between revisions of "Exponential function"

Revision as of 05:39, 10 November 2006