Log
New to Analytica 6.3
Log( x, base )
The logarithm with a given base. The result is the value [math]\displaystyle{ y }[/math] so that [math]\displaystyle{ base^y = x }[/math].
For example, Log(x,2) is the base-2 logarithm [math]\displaystyle{ \log_2(x) }[/math].
When «base» is omitted, returns the natural logarithm, identical to Ln(x).
Log(x, 10) is the same as Logten(x).
«x» must be non-negative when complex numbers are not enabled or a warning will be issued. If the warning is ignored, or Show Result Warnings is off, the result is NaN. When complex numbers are enabled, a negative «x» results in a complex number.
Log(x+1, base)
When called with a parameter having the form «expr» + 1 or 1 + «expr», it transforms the call to be a call to _Log1p(x,base) so as to avoid unnecessary numeric round-off. Ln and Logten do the same.
See also
- Ln(x) -- natural logarithm, same as
Log(x)with base omitted. - Logten(x) -- Same as
Log(x,10) - ProductLog
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