Difference between revisions of "Manuals/calci/IMLOG10"

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<div style="font-size:30px">'''IMLOG10(z)'''</div><br/>
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*<math>z</math> is the complex number is of the form <math>x+iy</math>  
  
Syntax
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==Description==
 +
*This function gives the common logarithm of a complex number.
 +
*IMLOG10(z),Where z is the complex number in the form of "x+iy".i.e. x&y are the real numbers.
 +
*'I' imaginary unit .i=sqrt(-1).
 +
*Log base 10, is known as the common logarithm or decadic logarithm, is the logarithm to the base 10.
 +
*To find the common logarithm of a complex number we have to calculate from the natural logarithm.
 +
*So log10(x+iy)=(log10 e)ln(x+iy).
 +
*We can use COMPLEX function to convert  real and imaginary number in to a complex number.
  
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==Examples==
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Remarks
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#IMLOG10("6+7i")=0.964709462857146+0.37443569720420i
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#IMLOG10("4-5i")=0.806391928359868-0.389151908999031i
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#IMLOG10("8")=0.903089986991944
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#IMLOG10("3i")=0.477121254719662+0.682188176920921i
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#IMLOG10("0")=NULL
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*Imln("8") for that it should consider the imaginary value is zero,but calci is not considering like EXCEL
  
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==See Also==
----
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*[[Manuals/calci/IMLN  | IMLN ]]
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*[[Manuals/calci/LOG10 | LOG10 ]]
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*[[Manuals/calci/COMPLEX  | COMPLEX ]]
  
Examples
 
  
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==References==
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[http://en.wikipedia.org/wiki/Bessel_function  Bessel Function]
<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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<font size="5">Description</font>
 
 
 
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<font color="#484848"><font face="Arial, sans-serif"><font size="2">This function calculates the common logarithm (base 10) of a complex number in a + bi or a + bj text format.</font></font></font>
 
 
 
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<div id="10SpaceContent" class="zcontent" align="left"><div class="ZEditBox" align="justify"><font size="6">'''<font face="Arial">IMLOG10</font>'''</font></div></div>
 
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* <font color="#484848"><font face="Arial, sans-serif"><font size="2">The common logarithm of a complex number can be calculated from the natural logarithm as follows: </font></font></font>
 
 
 
<font color="#484848">log<sub>10</sub>(x+yi)=(log<sub>10</sub>e)1n(x+yi)</font>
 
 
 
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<font color="#484848"><font face="Arial, sans-serif"><font size="2">'''IMLOG10'''</font></font></font><font color="#484848"><font face="Arial, sans-serif"><font size="2">(</font></font></font><font color="#484848"><font face="Arial, sans-serif"><font size="2">'''IN'''</font></font></font><font color="#484848"><font face="Arial, sans-serif"><font size="2">)</font></font></font>
 
 
 
<font color="#484848"><font face="Arial, sans-serif"><font size="2">where IN</font></font></font><font color="#484848"><font face="Arial, sans-serif"><font size="2">   is a complex number </font></font></font>
 
 
 
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| class="sshl_f" | 0.7311989989494778+0.16525181990889784i
 
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<div align="left">[[Image:calci1.gif]]</div></div>
 
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<font color="#484848"><font face="Arial, sans-serif"><font size="2">Let's see an example.</font></font></font>
 
 
 
<font color="#484848"><font face="Arial, sans-serif"><font size="2">I.e. =IMLOG10(“5+2i”) is 0.73119+0.16525i</font></font></font>
 
 
 
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Revision as of 04:21, 16 December 2013

IMLOG10(z)


  • is the complex number is of the form

Description

  • This function gives the common logarithm of a complex number.
  • IMLOG10(z),Where z is the complex number in the form of "x+iy".i.e. x&y are the real numbers.
  • 'I' imaginary unit .i=sqrt(-1).
  • Log base 10, is known as the common logarithm or decadic logarithm, is the logarithm to the base 10.
  • To find the common logarithm of a complex number we have to calculate from the natural logarithm.
  • So log10(x+iy)=(log10 e)ln(x+iy).
  • We can use COMPLEX function to convert real and imaginary number in to a complex number.

Examples

  1. IMLOG10("6+7i")=0.964709462857146+0.37443569720420i
  2. IMLOG10("4-5i")=0.806391928359868-0.389151908999031i
  3. IMLOG10("8")=0.903089986991944
  4. IMLOG10("3i")=0.477121254719662+0.682188176920921i
  5. IMLOG10("0")=NULL
  • Imln("8") for that it should consider the imaginary value is zero,but calci is not considering like EXCEL

See Also


References

Bessel Function