Difference between revisions of "Manuals/calci/IMLOG10"

Revision as of 23:30, 17 December 2013

IMLOG10(z)

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.
$I$ is the 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 $log10(x+iy)=(log_{10}e)ln(x+iy)$ .
We can use COMPLEX function to convert real and imaginary number into a complex number.

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 ==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
 *Imln("8") for that it should consider the imaginary value is zero.