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<div style="font-size:30px">'''IMLOG10(z)'''</div><br/>
<div style="font-size:30px">'''IMLOG10(Complexnumber,Base)'''</div><br/>
*<math>z</math> is the complex number is of the form <math>x+iy</math>
*<math>z</math> is of the form <math>z=x+iy</math>
*<math>Base</math>is value of the base.
==Description==
==Description==
*This function gives the common logarithm of a complex number.
*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.
*In <math>IMLOG10(Complexnumber,Base)</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.
*'I' imaginary unit .i=sqrt(-1).
*And <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 log10(x+iy)=(log10 e)ln(x+iy).
*So <math>log10(x+iy)=(log_{10} e)ln(x+iy)</math>.
*We can use COMPLEX function to convert real and imaginary number in to a complex number.
*We can use [[Manuals/calci/COMPLEX| COMPLEX]] function to convert real and imaginary number into a complex number.
==Examples==
==Examples==
#IMLOG10("6+7i")=0.964709462857146+0.37443569720420i
#=IMLOG10("6+7i") = 0.964709462857146+0.37443569720420i
#IMLOG10("4-5i")=0.806391928359868-0.389151908999031i
#=IMLOG10("4-5i") = 0.806391928359868-0.389151908999031i
#IMLOG10("8")=0.903089986991944
#=IMLOG10("8") = 0.903089986991944
#IMLOG10("3i")=0.477121254719662+0.682188176920921i
#=IMLOG10("3i") = 0.477121254719662+0.682188176920921i
#IMLOG10("0")=NULL
#=IMLOG10("0") = NULL
==Related Videos==
{{#ev:youtube|m-d_Xks90AM|280|center|Log of Complex Number}}
==See Also==
==See Also==
*[[Manuals/calci/LOG10 | LOG10 ]]
*[[Manuals/calci/LOG10 | LOG10 ]]
*[[Manuals/calci/COMPLEX | COMPLEX ]]
*[[Manuals/calci/COMPLEX | COMPLEX ]]
==References==
==References==
[http://en.wikipedia.org/wiki/Bessel_function Bessel Function]
[http://en.wikipedia.org/wiki/Binary_logarithm Binary Logarithm]