query: How do I solve $x^{k}=k^{x}$, given k, analytically?
positive_passages.docid: 142725
positive_passages.text: The general solution of $x^a = a^x$ for real $a >0$
negative_passages.docid: 124073
negative_passages.text: solving for one solution to a system of polynomials
negative_passages.docid: 8676
negative_passages.text: Is there any "superlogarithm" or something to solve $x^x$?
negative_passages.docid: 139121
negative_passages.text: Evaluating $\int _0 ^1 x^k(\ln x)^m dx$ for integer $k$ and $m$
negative_passages.docid: 99453
negative_passages.text: Sum of $k$-th powers
negative_passages.docid: 146753
negative_passages.text: Find $x$ such that $(x^2 + 4x + 3)^x + (2x + 4)^x = (x^2 + 4x + 5)^x$
negative_passages.docid: 125057
negative_passages.text: How do I solve a problem with term $a^{n} + b^{n}$?
negative_passages.docid: 143878
negative_passages.text: Solve: $\int x^3\sqrt{4-x^2}dx$
negative_passages.docid: 24862
negative_passages.text: Solving (quadratic) equations of iterated functions, such as $f(f(x))=f(x)+x$
negative_passages.docid: 946
negative_passages.text: How to find solutions of linear Diophantine ax + by = c?
negative_passages.docid: 110408
negative_passages.text: Solving for $A$ in $Ax = b$
negative_passages.docid: 131941
negative_passages.text: Solve quadratic congruences.
negative_passages.docid: 94407
negative_passages.text: Number of solutions for $x[1] + x[2] + \ldots + x[n] =k$
negative_passages.docid: 28297
negative_passages.text: derivative of x^x^x... to infinity?
negative_passages.docid: 54608
negative_passages.text: How to find all solutions of $4^x-3^x=1$?
negative_passages.docid: 44701
negative_passages.text: How to find maximum $x$ that $k^x$ divides $n!$
negative_passages.docid: 135074
negative_passages.text: How do you solve this equation?