# logarithm

## Primary tabs

Defines:
base, natural logarithm, ln, log
Type of Math Object:
Definition
Major Section:
Reference
Groups audience:

## Mathematics Subject Classification

26A09 no label found26A06 no label found26-00 no label found

## Comments

### Values of the logarithm base

Some authors state that the case x=1 is to be excluded from the logarithm function domain.

### Re: Values of the logarithm base

log_b(x) = log(x)/log(b). Since log(1) = 0, it isn't possible to have a logarithm to base 1. Another way to see this is to note that 1^x = 1.