$$y = \frac{\ln(p+qe^x)}{x}.$$
$p$ and $q$ are constants.
Express $x$ in terms of $y$.
I believe I have to use Lambert W function, but I'm stumped.
Thinking help is needed. Thank you very much!
2026-03-25 16:00:14.1774454414
$y = \ln(p+qe^x)/x$, solve for $x$
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If $y=\ln r$, this is equivalent to $r^x=p+q~e^x$, which, unless either r is a rational power of e, or $pq=0$, does not possess a closed form expression, not even in terms of the Lambert W function.