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 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)=(log2 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