Manuals/calci/IMLOG2

IMLOG2(z)

• $z$ is the complex number is of the form $x+iy$

Description

• 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.

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

• Imln("8") for that it should consider the imaginary value is zero,but calci is not considering like EXCEL

See Also

• IMLOG10
• LOG2
• COMPLEX

References

Bessel Function