  A preparation theorem for compositions of restricted log-exp-analytic
functions and power functions of the form $$h: \mathbb{R} \to \mathbb{R}, x
\mapsto \left\{\begin{array}{ll} x^r, & x > 0, \\ 0, & \textnormal{ else, }
\end{array}\right.$$ for $r \in \mathbb{R}$ is given. Consequently we obtain a
parametric version of Tamm's theorem for this class of functions which is
indeed a full generalisation of the parametric version of Tamm's theorem for
$\mathbb{R}_{\textnormal{an}}^{\mathbb{R}}$-definable functions.
