Editing Natural logarithm (section)

==Notational conventions==
The notations {{math|ln ''x''}} and {{math|log<sub>''e''</sub> ''x''}} both refer unambiguously to the natural logarithm of {{mvar|x}}, and {{math|log ''x''}} without an explicit base may also refer to the natural logarithm. This usage is common in mathematics, along with some scientific contexts as well as in many [[programming language]]s.<ref group="nb"> Including [[C (programming language)|C]], [[C++]], [[SAS System|SAS]], [[MATLAB]], [[Mathematica]], <!--[[Pascal programming language|Pascal]], -->[[Fortran]], and some [[BASIC programming language|BASIC]] dialects</ref> In some other contexts such as [[chemistry]], however, {{math|log ''x''}} can be used to denote the [[common logarithm|common (base 10) logarithm]]. It may also refer to the [[Binary logarithm|binary (base 2) logarithm]] in the context of [[computer science]], particularly in the context of [[time complexity]].

Generally, the notation for the logarithm to base {{math|''b''}} of a number {{math|''x''}} is shown as {{math|log<sub>''b''</sub> ''x''}}. So the {{math|log}} of {{math|8}} to the base {{math|2}} would be {{math|1=log<sub>2</sub> 8 = 3}}.