There are so many available bases. Why is the strange number e preferred over all else?

Of course one could integrate 1x and see this. But is there more to the story?

**Answer**

Differentiation and integration is precisely why it is considered natural, but not just because

∫1xdx=lnx

ex has the two following nice properties

ddxex=ex

∫exdx=ex+c

If we looked at ax instead, we would get:

ddxax=ddxexln(a)=ln(a)⋅ax

∫axdx=∫exln(a)dx=axln(a)+c

So e is vital to the integration and differentiation of exponentials.

**Attribution***Source : Link , Question Author : Community , Answer Author : draks …*