Difference between revisions of "Manuals/calci/LN"

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<div style="font-size:30px">'''LN(Number)'''</div><br/>
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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.
  
Syntax
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==Description==
 +
*This function gives the Natural Logarithm of a number.
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*<math>LN</math> is the  logarithm in which the base is the irrational number <math>e</math> (<math>e</math>= 2.71828...).
 +
*For example, <math>ln_10 = loge_10 \approx 2.30258</math>
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*It was formely also called Hyperbolic logarithm.
 +
*And also called Napierian logarithm.
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*The constant <math>e</math> is called Euler's number.
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*The Natural Logarithm is denoted by <math>ln(x)</math> or <math>log e(x)</math>.
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*where <math>x</math> is the Positive real number.
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*The <math>ln(x)</math> is the inverse function of the exponential function <math>e^{ln(x)}=x</math> if <math>x>0</math>.
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*<math>ln(e^x)=x</math>
  
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==ZOS==
----
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*The syntax is to calculate Natural logarithm in ZOS is <math>LN(number)</math>.
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**where <math>number</math> is the any positive real number.
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*For e.g.,LN(20..23)
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{{#ev:youtube|OCirVf3pulA|280|center|Natural Logarithm}}
  
Remarks
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==Examples==
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*=LN(15) = 2.708050201
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*=LN(8.3) = 2.116255515
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*=LN(1) = 0
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*=LN(0) = -INFINITY
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*=LN(-20) = NAN
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*=LN(exp(5)) = 5
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*=EXP(LN(7)) = 7
  
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==Related Videos==
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Examples
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{{#ev:youtube|eavkIcjXchI|280|center|Natural Logarithm}}
  
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==See Also==
----
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*[[Manuals/calci/LOG | LOG]]
<div id="8SpaceContent" align="left"><div class="ZEditBox" align="justify">'''<font face="Times New Roman">''''''''''''<font size="6"> </font>''' '''''''''</font>'''</div></div>
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*[[Manuals/calci/EXP | EXP]]
----
 
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<font size="5">Description</font>
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==References==
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[http://en.wikipedia.org/wiki/Natural_logarithm  Natural Logarithm]
  
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<div id="10SpaceContent" class="zcontent" align="left"><div class="ZEditBox" align="justify">'''<font face="Times New Roman"> <font size="6">LN</font> </font>'''</div></div>
 
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'''LN'''('''n1''')… where n1 is the positive real number
 
  
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*[[Z_API_Functions | List of Main Z Functions]]
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<font face="Times New Roman">LN is the inverse of the EXP function.</font>
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*[[ Z3 Z3 home ]]
 
 
<font face="Times New Roman"> </font>
 
 
 
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LN function gives you the natural logarithm of a number.
 
 
 
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<div id="12SpaceContent" class="zcontent" align="left"><br /><br /><br /><div id="9Space" class="gamizbox" title="9Space"><div id="9SpaceHeader" class="zheaderstyle" title="Double-click to start and stop editing the header."><center></center></div><div id="9SpaceRollup" title="Double-click to rolldown" align="left"><span><span id="9SpaceRollupContent" align="center"></span></span></div><div id="9SpaceCover"><div id="9SpaceContent" class="zcontent" align="left"><div class="ZEditBox" align="justify"><font size="3"><font face="Times New Roman"> 
 
 
 
Lets see an example in (Column1, Row 1)
 
 
 
LN (n1)
 
 
 
LN (C1R1)''''''
 
 
 
That is LN (35) is 3.56
 
 
 
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{| id="TABLE3" class="SpreadSheet blue"
 
|- class="even"
 
| class="   " |
 
<div id="6Space_Copy" title="Click and Drag over to AutoFill other cells."></div>
 
| Column1
 
| class="  " | Column2
 
| class="  " | Column3
 
| class="  " | Column4
 
|- class="odd"
 
| class=" " | Row1
 
| class="sshl_f" | 35
 
| class="sshl_f" |
 
| class="sshl_f" |
 
| class="sshl_f" |
 
|- class="even"
 
| class="  " | Row2
 
| class="sshl_f" | 3.5553
 
| class="sshl_f" |
 
| class="sshl_f" |
 
| class="sshl_f" |
 
|- class="odd"
 
| Row3
 
| class="sshl_fSelectTD SelectTD " |
 
<div id="6Space_Handle" title="Click and Drag to resize CALCI Column/Row/Cell. It is EZ!"></div><div id="6Space_Copy" title="Click and Drag over to AutoFill other cells."></div>
 
| class="sshl_f" |
 
| class="sshl_f" |
 
| class="sshl_f" |
 
|- class="even"
 
| Row4
 
| class="sshl_f" |
 
| class="sshl_f" |
 
| class="sshl_f" |
 
| class="sshl_f" |
 
|- class="odd"
 
| class=" " | Row5
 
| class="sshl_f" |
 
| class="sshl_f" |
 
| class="sshl_f" |
 
| class="sshl_f" |
 
|- class="even"
 
| Row6
 
| class="sshl_f" |
 
| class="sshl_f" |
 
| class="sshl_f" |
 
| class="sshl_f" |
 
|}
 
 
 
<div align="left">[[Image:calci1.gif]]</div></div>
 
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</div></div></div></div></div></div></div></div></div></div></div></div>
 

Latest revision as of 04:52, 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