How to invert this function? (Inverse exponential function with arctan) How to invert this function? $$ y = e^{\arctan(x^5)} $$

$\
ewcommand{\leftlong}{\longleftarrow\\!\shortmid}$ **What gets done last gets undone first:** $$ \begin{array}{rcccccl} x & \longmapsto & x^5 & \longmapsto & \arctan(x^5) & \longmapsto & \exp(\arctan(x^5)) = y \\\\[12pt] \sqrt[5]{\tan(\log_e y)} & \leftlong & \tan(\log_e y) & \leftlong & \log_e y & \leftlong & y \end{array} $$