Difference between revisions of "Manuals/calci/IMLOG10"
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==References== | ==References== | ||
| − | [http://en.wikipedia.org/wiki/ | + | [http://en.wikipedia.org/wiki/Binary_logarithm Binary Logarithm] |
Revision as of 06:51, 26 December 2013
IMLOG10(z)
- 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 the complex number 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 x+iy}
Description
- This function gives the common logarithm of a complex number.
- IMLOG10(z), where 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 the complex number 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 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} & 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 y} are the real numbers.
- 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
- =IMLOG10("6+7i") = 0.964709462857146+0.37443569720420i
- =IMLOG10("4-5i") = 0.806391928359868-0.389151908999031i
- =IMLOG10("8") = 0.903089986991944
- =IMLOG10("3i") = 0.477121254719662+0.682188176920921i
- =IMLOG10("0") = NULL