Question

Why is base of logarith taken to be e

Answer 1

\(e\) is not "taken", you're free to use any base you wish :)

However the base of natural logarithm is "e" because "e" is very much natural

Notice that the derivative of \(\log_a x\) is \(\dfrac{1}{x\log_e a}\) and when you set the base to \(e\) you get a simple looking expression : \(\frac{1}{x}\).

see this for more cool properties of e
http://en.wikipedia.org/wiki/E_%28mathematical_constant%29

Answer 2

Thank you honorary professor of mathematics

Answer 3

yw! i hope to see more nice replies on this topic...