Difference between revisions of "Manuals/calci/IMLOG10"

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*This function gives the common logarithm of a complex number.
 
*This function gives the common logarithm of a complex number.
 
*IMLOG10(z), where <math>z</math> is the complex number in the form of <math>x+iy</math>. i.e <math>x</math> & <math>y</math> are the real numbers.
 
*IMLOG10(z), where <math>z</math> is the complex number in the form of <math>x+iy</math>. i.e <math>x</math> & <math>y</math> are the real numbers.
*<math>I</math> is the imaginary unit .<math>i=sqrt{-1}</math>.
+
*<math>I</math> is the imaginary unit .<math>i=\sqrt{-1}</math>.
 
*Log base 10, is known as the common Logarithm or Decadic logarithm, is the logarithm to the base 10.  
 
*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.
 
*To find the common logarithm of a complex number, we have to calculate from the Natural Logarithm.
*So <math>log10(x+iy)=(log_10 e)ln(x+iy)</math>.
+
*So <math>log10(x+iy)=(log_{10} e)ln(x+iy)</math>.
 
*We can use COMPLEX function to convert real and imaginary number into a complex number.
 
*We can use COMPLEX function to convert real and imaginary number into a complex number.
  

Revision as of 23:29, 17 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 is the complex number in the form of . i.e & are the real numbers.
  • is the imaginary unit ..
  • 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 .
  • We can use COMPLEX function to convert real and imaginary number into 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.

See Also


References

Bessel Function