Manuals/calci/IMLOG10

IMLOG10(Complexnumber,Base)

• 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 z} is of the form 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 z=x+iy}
• 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 Base} is value of the base.

Description

• This function gives the common logarithm of a complex number.
• In 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 IMLOG10(Complexnumber,Base)} , where Complexnumber is in the form 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 z=x+iy} . i.e 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 x} & $y$ are the real numbers.
• And 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 I} is the imaginary unit .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 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 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 log10(x+iy)=(log_{10} e)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

Related Videos

Log of Complex Number

See Also

• IMLN
• LOG10
• COMPLEX

References

Binary Logarithm