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variants of this functions
Log




Mathematica Notation

Traditional Notation









Elementary Functions > Log[z] > Transformations > Related transformations > Linear combinations involving the direct function > Involving cosh-1(z)





http://functions.wolfram.com/01.04.16.0162.01









  


  








Input Form





a Log[x] + b ArcCosh[y] == Log[x^a (y + Sqrt[y - 1] Sqrt[y + 1])^b] - 2 I Pi (Floor[(-Arg[x^a] - Arg[(y + Sqrt[y - 1] Sqrt[y + 1])^b] + Pi)/ (2 Pi)] + Floor[(Pi - Im[a Log[x]])/(2 Pi)] + Floor[(Pi - Im[b Log[y + Sqrt[y - 1] Sqrt[y + 1]]])/(2 Pi)])








Standard Form





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MathML Form







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Rule Form





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Date Added to functions.wolfram.com (modification date)





2007-05-02