Programmer Guide/Command Reference/EVAL/log: Difference between revisions

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:'''<code>ln(<var>x</var>)</code>''' ... natural logarithm (base e); alias: <code>log(''x'','''e''')</code>
:'''<code>ln(<var>x</var>)</code>''' ... natural logarithm (base e); alias: <code>log(''x'','''e''')</code>
:'''<code>ld(<var>x</var>)</code>''' ... logarithm to the base 2; alias: <code>log(''x'','''2''')</code>
:'''<code>ld(<var>x</var>)</code>''' ... logarithm to the base 2; alias: <code>log(''x'','''2''')</code>
:;<var>x</var>a scalar, vector or matrix; all elements must be greater than 0
:;<var>x</var>: a scalar, vector or matrix; all elements must be greater than 0
:;<var>b</var>the base of the logarithm; must be a positive number
:;<var>b</var>: the base of the logarithm; must be a positive number
;Result: The result ''r'' has the same type as ''x'' and contains the logarithm of ''x'' to the specified base ''b'', computed element by element.
;Result: The result ''r'' has the same type as ''x'' and contains the logarithm of ''x'' to the specified base ''b'', computed element by element.
;See also: [[Programmer_Guide/Command_Reference/EVAL/npow2|npow2]], [[Programmer_Guide/Command_Reference/EVAL/exp|exp]]
;See also: [[Programmer_Guide/Command_Reference/EVAL/npow2|npow2]], [[Programmer_Guide/Command_Reference/EVAL/exp|exp]]

Revision as of 13:30, 6 April 2011

Compute the logarithm of the argument x element by element.

Usage
log(x , b
log(x) ... common logarithm (base 10)
ln(x) ... natural logarithm (base e); alias: log(x,e)
ld(x) ... logarithm to the base 2; alias: log(x,2)
x
a scalar, vector or matrix; all elements must be greater than 0
b
the base of the logarithm; must be a positive number
Result
The result r has the same type as x and contains the logarithm of x to the specified base b, computed element by element.
See also
npow2, exp
Note
For the inverse function the operater ^ can be used; e.g.: 10^x, e^x, ...

Example:

#a := eval vv(1,2,3,4,5)
#b := eval init(5,2,0)
#c := eval vmcol($#a, $#b, $#a) 
// -> $#c is a matrix with 4 rows and 5 columns:
//    $#c[*,*] = $#a,  #c[1,*] = $#b[*,0],  $#c[2,*] = $#b[*,1],  $#c[3,*] = $#a

<function list>

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