Natural and Common Logs
... and Common Logs The Natural Logarithm A natural logarithm, also called the Naperian logarithm, is a logarithm with base e, where e = 2.71828It is denoted by ln x, such that; if ln x = y, then x = e y (Bostock, 1990, 1994, 2000)
A graph for the function y = ln x plotted with the help of an online function grapher, is as follows:
The function is defined as ln x = x1 dx/x, which means that on the hyperbolic graph of y = 1/x, the area enclosed within the lines x = 1, x = e and the x-axis, is equal to 1.
e1 1/x dx
= [ ln x ]e1
= ln e - ln 1
= 1 - 0 = 1
The Common Logarithm
A common logarithm, or the decadic logarithm, on the other hand, is a logarithm with base 10. It...