Hi there,

Given the following, I am wondering if it possible to express $x$ in terms of $a, b, c$ and $d$?

$\displaystyle ax+b+x^c=d$

$\displaystyle a,b,c \in (0,1)$

$\displaystyle d>0$

$\displaystyle x \leq d$

$\displaystyle 0 \leq x \leq 1$

I've tried messing around with the natural logarithm and exponential functions but to no avail, so far. I can solve by iteration if given values for a, b, c and d but can I express it as a closed formula?

Any help would be massively appreciated, thanks!