Log e x dx lnx dx x ln x - x c. The natural logarithm of a number x is defined as the base e logarithm of x. Ln x log e x.
Lets start with simple example.
Logarithm Rules The base b logarithm of a number is the exponent that we need to raise the base in order to get the number. Provided by your lecturer e is a mathematical constant that is the base for the natural logarithm. E is an irrational and transcendental number the first few digit of which are. A function ln x is just a logarithm with a base of e a number that is similar to pi in the fact that it is a mathematical constant.