Exponential function IS JUST another function in mathematics study. To date, most of the time we are dealing with so called power function e.g
f(x) = x2. where x is the base
the number 2 is the power (index) However, in exponential function we are dealing f(x) = 2x.
where 2 is the base
the number x is the power (index)
![](https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEjzdagadjQDC-KAgBPp4eTelpyyCXOvGzV4RCwk1peHVRn952LhqcmgoO2zyfcYzxR-IrnuonhSdCfEvsAp9wjmXxF2-59dHTbbESXJJpVbxIYaa-B0xwCi8kjOeG3zDvoW3Xf8_xk-iC8/s400/20-05-2013+14-59-11.png) |
source: Wikipedia
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The big difference is in that the variable is now the power, rather than the base.
![](https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEhz2_RLt40C5HYSy2KtjEs3-keTAArAaheTIInTiZHkP4cyRBSzvXFwFHxO2ctqlIJvZ5Tp7WxaiR_Wy9cdZjfUAvHcWLMLDsJoo51iex0dfauUL25FFulVONzba_lpvjHJqD0QRXTJ2cg/s400/20-05-2013+14-35-01.png) |
source: Wikipedia |
The most commonly encountered exponential-function base is the
transcendental number e , which is equal to approximately 2.71828. Thus, the above expression becomes:(see also
natural logarithm)
f (x) = e x
![](https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEjVTZjhWNkxAlaOFJoTKUZ7oXOJvMKE5WyTD8m6Zd_n-EKtDd7lyM2zNA5QT1pLBJwH1UTYomc-pKrdZTNpKS_PJ_RS4qjbjiemAiyKPStfVZm9bAxcbv4dGUZ-9IsEJ7RioAi-BLZHEsg/s320/20-05-2013+15-01-28.png) |
Value of e |