Consider the following equation in $\mathbb{R}$:
$$\frac{\left(\sqrt{x} - \sqrt{a}\right)^{2}}{ax} \cdot \log\left(x + a + n\right) = \psi$$
for $x$, $a$, $n$ and $\psi$ strictly positive, and where $\log$ is the natural logarithm.
Is there a name for this type of equation? And would there be a way to solve it for $x$?