Manuals/calci/IMLOG10

IMLOG10(z)

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

Description

• 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 $log10(x+iy)=(log_{1}0e)ln(x+iy)$.
• We can use COMPLEX function to convert real and imaginary number into a complex number.

Examples

1. IMLOG10("6+7i")=0.964709462857146+0.37443569720420i
2. IMLOG10("4-5i")=0.806391928359868-0.389151908999031i
3. IMLOG10("8")=0.903089986991944
4. IMLOG10("3i")=0.477121254719662+0.682188176920921i
5. IMLOG10("0")=NULL

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

See Also

• IMLN
• LOG10
• COMPLEX

References

Bessel Function