Difference between revisions of "Manuals/calci/IMLOG2"

Revision as of 05:42, 16 December 2013

IMLOG2(z)

This function gives the binary logarithm of a complex number.
$IMLOG2(z)$ , where $z$ is the complex number in the form of $x+iy$ . i.e. $x$ & $y$ are the real numbers.
$I$ imaginary unit . $i={\sqrt {-1}}$ .
Binary logarithm is the inverse function of Failed to parse (MathML with SVG or PNG fallback (recommended for modern browsers and accessibility tools): Invalid response ("Math extension cannot connect to Restbase.") from server "https://wikimedia.org/api/rest_v1/":): {\displaystyle n ↦ 2n} .
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 $log2(x+iy)=(log_{2}e)ln(x+iy)$ .
We can use COMPLEX function to convert real and imaginary number in to a complex number.

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 ==Examples==
-#=IMLOG2("2+3i")=1.85021985921295+1.41787163085485i
+#=IMLOG2("2+3i") = 1.85021985921295+1.41787163085485i
-#=IMLOG2("5-6i")=2.96536866900967-1.26388460522614i
+#=IMLOG2("5-6i") = 2.96536866900967-1.26388460522614i
-#=IMLOG2("15")=3.90689059590921
+#=IMLOG2("15") = 3.90689059590921
-#=IMLOG2("11i")=3.45943161890355+2.26618007108801i
+#=IMLOG2("11i") = 3.45943161890355+2.26618007108801i
-#=IMLOG2("0")=NULL
+#=IMLOG2("0") = NULL
-*Imln("8") for that it should consider the imaginary value is zero,but calci is not considering like EXCEL
 ==See Also==