Manuals/calci/IMLOG2

IMLOG2(Complexnumber)

• $Complexnumber$ is of the form $z=x+iy$

Description

• This function gives the binary logarithm of a complex number.
• $IMLOG2(Complexnumber)$, where Complexnumber is in the form of $z=x+iy$. i.e. $x$ & $y$ are the real numbers.
• And $I$ is the 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.

ZOS Section

• The syntax is to calculate Binary logarithm of a complex number is $IMLOG2(Complexnumber)$.
  • $Complexnumber$ is of the form $z=x+iy$.
• For e.g imlog2("2.1-3.5i")

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

See Also

• IMLOG10
• LOG10
• COMPLEX

References

Binary Logarithm