Difference between revisions of "Manuals/calci/LN"

 
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<div style="font-size:30px">'''LN(number)'''</div><br/>
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<div style="font-size:30px">'''LN(Number)'''</div><br/>
*where <math>number</math> is the any positive real number.
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*where <math>Number</math> is the any positive real number.
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**LN() returns the natural logarithm of a number.
  
 
==Description==
 
==Description==
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*<math>ln(e^x)=x</math>
 
*<math>ln(e^x)=x</math>
  
==ZOS Section==
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==ZOS==
 
*The syntax is to calculate Natural logarithm in ZOS is <math>LN(number)</math>.
 
*The syntax is to calculate Natural logarithm in ZOS is <math>LN(number)</math>.
***where <math>number</math> is the any positive real number.
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**where <math>number</math> is the any positive real number.
 
*For e.g.,LN(20..23)
 
*For e.g.,LN(20..23)
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{{#ev:youtube|OCirVf3pulA|280|center|Natural Logarithm}}
  
 
==Examples==
 
==Examples==
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*=LN(8.3) = 2.116255515
 
*=LN(8.3) = 2.116255515
 
*=LN(1) = 0
 
*=LN(1) = 0
*=LN(0) = INFINITY
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*=LN(0) = -INFINITY
 
*=LN(-20) = NAN
 
*=LN(-20) = NAN
 
*=LN(exp(5)) = 5
 
*=LN(exp(5)) = 5
 
*=EXP(LN(7)) = 7
 
*=EXP(LN(7)) = 7
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 +
==Related Videos==
 +
 +
{{#ev:youtube|eavkIcjXchI|280|center|Natural Logarithm}}
  
 
==See Also==
 
==See Also==
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==References==
 
==References==
 
[http://en.wikipedia.org/wiki/Natural_logarithm  Natural Logarithm]
 
[http://en.wikipedia.org/wiki/Natural_logarithm  Natural Logarithm]
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*[[Z_API_Functions | List of Main Z Functions]]
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*[[ Z3 |  Z3 home ]]

Latest revision as of 05:52, 8 June 2020

LN(Number)


  • where is the any positive real number.
    • LN() returns the natural logarithm of a number.

Description

  • This function gives the Natural Logarithm of a number.
  •   is the logarithm in which the base is the irrational number   ( = 2.71828...).
  • For example,  
  • It was formely also called Hyperbolic logarithm.
  • And also called Napierian logarithm.
  • The constant   is called Euler's number.
  • The Natural Logarithm is denoted by   or  .
  • where   is the Positive real number.
  • The   is the inverse function of the exponential function   if  .
  •  

ZOS

  • The syntax is to calculate Natural logarithm in ZOS is  .
    • where   is the any positive real number.
  • For e.g.,LN(20..23)
Natural Logarithm

Examples

  • =LN(15) = 2.708050201
  • =LN(8.3) = 2.116255515
  • =LN(1) = 0
  • =LN(0) = -INFINITY
  • =LN(-20) = NAN
  • =LN(exp(5)) = 5
  • =EXP(LN(7)) = 7

Related Videos

Natural Logarithm

See Also

References

Natural Logarithm