Suppose $x$ is a negative real number then what is $x^{\log n}$?
Does it exist at all? I have searched for it in wikipedia and got an article there regarding the exponentiation of positive real base but couldn't find any fact regarding exponentiation of the negative real base. That's why I am posting this question here for further clarification l; To know explicitly as to why such kind of exponentiation is not valid.
Any relevant suggestion will be highly appreciated. Thank you all to those who will spend their your valuable time in reading this question and make an informative and thorough reply to this question.