Showing posts with label calculus. Show all posts
Showing posts with label calculus. Show all posts

Wednesday, 24 July 2013

Why Euler Constant ‘e’ is used as preferred logarithm base?

Euler Constant

When I read about logarithm for first time in High school I understood as it as “The logarithm of a number is the exponent to which a base(usually 10) must be raised to produce that number”

For example, the logarithm of 1000 to base 10 is 3, because 1000 is 10 to the power 3: 1000 = 10 ×10 ×10 = 103. More generally, if x = by, then y is the logarithm of x to base b, and is written y = logb(x), so log10(1000) = 3. This was quite reasonable to understand.