I was wondering whether it is possible to isolate $x$ in this equation:
$$ f = 1- \exp\left(\frac{xt}{C^2}\right)\operatorname{erfc}\left(\frac{\sqrt(xt)}{C}\right) $$
I have not come further than
$$
\ln(f-1) + \frac{xt}{C^2}= \ln\left(\operatorname{erfc}\left(\frac{\sqrt(xt)}{C}\right)\right)
$$
I have actual measured values for $f$, $C$, and I know the time, $t$. It thus should be possible with one unknown and one equation to solve for $x$.
I'd greatly appreaciate any help.