I have this simplification in my textbook, $e^{-(x+3\log|x|)} = x^{-3}e^{-x}$
I cant get how did we got that? i know this rules $e^{\log|x|}=x$ and $e^{x+y}= e^xe^y$
Are those things related? Can someone explain me this? Thanks
I have this simplification in my textbook, $e^{-(x+3\log|x|)} = x^{-3}e^{-x}$
I cant get how did we got that? i know this rules $e^{\log|x|}=x$ and $e^{x+y}= e^xe^y$
Are those things related? Can someone explain me this? Thanks
Well $e^{-x-3\log x}=e^{-x}e^{-3\log x}=e^{-x}(e^{\log x})^{-3}=e^{-x}x^{-3}$ and there you have it. Note that I used that $x^{yz}=(x^y)^z$