English

On the roots of $a^x+a^{-x}=x$

History and Overview 2014-01-23 v2

Abstract

We provide an analytical closed-form solution of the exponential equation ax+ax=xa^x+a^{-x}=x for a specific value aa, discuss the number of roots in general case, and provide bounds on the roots.

Keywords

Cite

@article{arxiv.1312.6600,
  title  = {On the roots of $a^x+a^{-x}=x$},
  author = {Ondrej Slučiak},
  journal= {arXiv preprint arXiv:1312.6600},
  year   = {2014}
}