Is there a general expression for Laplace transform of an exponential function of the following form?
$$\mathcal{L}\left(e^{-x\left(t\right)}\right)$$
where $x(t)$ is an arbitrary function which has positive value at any $t$. Can Laplace transformation be expressed in terms of $X(s)$ where
$$X(s) =\mathcal{L}\left(x(t)\right)$$