All these exponential functions are the same, as it were, one can always be written as another. What sets e^x appart is the fact that its rate of change is itself : d (e^x) /dx = e^x .

Exponential growth is a pattern of data that shows greater increases with passing time, creating the curve of an exponential function. The formula for exponential growth is V = S x (1+R) T, where ...