Difference between revisions of "Manuals/calci/IMLOG2"

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<div style="font-size:30px">'''IMLOG2(Complexnumber)'''</div><br/>
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*<math>Complexnumber</math>  is of the form <math>z=x+iy</math>  
  
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Syntax
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==Description==
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*This function gives the binary logarithm of a complex number.
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*<math>IMLOG2(Complexnumber)</math>, where Complexnumber is  in the form of <math>z=x+iy</math>. i.e. <math>x</math> & <math>y</math> are the real numbers.
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*And <math>I</math> is the imaginary unit .<math>i=\sqrt{-1}</math>.
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*Binary logarithm is the inverse function of the Power of two functions.
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*Log base 2 is called Binary logarithm.
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*To find the Binary logarithm of a complex number we have to calculate from the natural logarithm.
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*So <math>log2(x+iy)=(log_2 e)ln(x+iy)</math>.
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*We can use COMPLEX function to convert real and imaginary number in to a complex number.
  
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==ZOS==
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----
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*The syntax is to calculate Binary logarithm of a complex number is <math>IMLOG2(Complexnumber)</math>.
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**<math>Complexnumber</math> is of the form <math>z=x+iy</math>.
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*For e.g imlog2("2.1-3.5i")
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{{#ev:youtube|Kd3hYo0wy4s|280|center|ImLog2}}
  
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Remarks
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==Examples==
  
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</div></div>
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#=IMLOG2("2+3i") = 1.85021985921295+1.41787163085485i
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#=IMLOG2("5-6i") = 2.96536866900967-1.26388460522614i
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#=IMLOG2("15") = 3.90689059590921
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#=IMLOG2("11i") = 3.45943161890355+2.26618007108801i
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#=IMLOG2("0") = NULL
  
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Examples
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==Related Videos==
  
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</div></div>
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{{#ev:youtube|m-d_Xks90AM|280|center|Log of Complex Number}}
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<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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==See Also==
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*[[Manuals/calci/IMLOG10  | IMLOG10 ]]
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*[[Manuals/calci/LOG10  | LOG10 ]]
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*[[Manuals/calci/COMPLEX  | COMPLEX ]]
  
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==References==
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[http://en.wikipedia.org/wiki/Binary_logarithm Binary Logarithm]
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<font color="#484848"><font face="Arial, sans-serif"><font size="2">This function calculates the base-2 logarithm 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">IMLOG2</font>'''</font></div></div>
 
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<font color="#484848"><font face="Arial, sans-serif"><font size="2">The base-2 logarithm of a complex number can be calculated from the natural logarithm as follows: </font></font></font>
 
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<font color="#484848" face="Arial">log<sub>2</sub> (x+yi) = (log<sub>2</sub>e)1n (x+yi)</font>
 
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<font color="#484848"><font face="Arial, sans-serif"><font size="2">'''IMLOG2'''</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>
 
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<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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<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>
 
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<font color="#484848"><font face="Arial, sans-serif"><font size="2">I.e.=IMLOG2(“5+2i”) is 2.42899+0.54895i</font></font></font>
 
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Latest revision as of 03:59, 16 March 2020

IMLOG2(Complexnumber)


  • is of the form

Description

  • This function gives the binary logarithm of a complex number.
  • , where Complexnumber is in the form of . i.e. & are the real numbers.
  • And is the imaginary unit ..
  • Binary logarithm is the inverse function of the Power of two functions.
  • Log base 2 is called Binary logarithm.
  • To find the Binary logarithm of a complex number we have to calculate from the natural logarithm.
  • So .
  • We can use COMPLEX function to convert real and imaginary number in to a complex number.

ZOS

  • The syntax is to calculate Binary logarithm of a complex number is .
    • is of the form .
  • For e.g imlog2("2.1-3.5i")
ImLog2

Examples

  1. =IMLOG2("2+3i") = 1.85021985921295+1.41787163085485i
  2. =IMLOG2("5-6i") = 2.96536866900967-1.26388460522614i
  3. =IMLOG2("15") = 3.90689059590921
  4. =IMLOG2("11i") = 3.45943161890355+2.26618007108801i
  5. =IMLOG2("0") = NULL

Related Videos

Log of Complex Number

See Also

References

Binary Logarithm

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