How to solve equations with both logarithms and square roots, like this: $ax+b\log(x)+c\sqrt{x}+d=0$

Question

I have an equation that looks like this:

$$ax+b \log(x)+c\sqrt x+d=0$$

I know that an equation without the $\sqrt x$ can be solved using the Lambert's W function (How to solve equations with logarithms, like this: $ ax + b\log(x) + c=0$). I am having trouble solving the equation with $\sqrt x$, is there a (quasi) closed-form solution for this?