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LN Natural (e) Logarithm pp 140
Syntax: Ln (NumVar) ;
Type: Real
Form: Function
Purpose: Natural logarithm of NumVar to base e (2.7182818285).
Notes: The log of NumVar is the inverse of the Exp of NumVar.
Ln (Exp(1)) = 1. The Exp of NumVar is also the AntiLogarithm
of NumVar.
Detail: Logarithms are related to exponential numbers. An exponential
number takes a base, often base e and then raises it to a
power (y). This means that e is multiplied by itself y times.
The logarithm is the inverse of the exponention function, and may
be written as y = LOGb x. Which is stated as "y equals log
to the base b of x". Natural logarithms (base e) are often
abbreviated as Ln x.
Logs allow multiplication, division, and exponentiation of
complex numbers to be replace by simpler operations of addition,
subtraction, and multiplication, respectively.
Bases: Common logs are to the base 10.
Natural logs are to the base e.
Laws: LOGb (xy) = LOGb(x) + LOGb(y)
LOGb (x/y) = LOGb(x) - LOGb(y)
LOGb (x^n) = n LOGb x
----------------------------------------------------------------------------
Usage:
VAR
NumVar : Real ;
Result : Real ;
BEGIN
NumVar := 2.7182818285 ; { Value of e }
Result := Ln (NumVar) ; { 1.00000 }
END.
See Also:
Exp
Sqr
Sqrt
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