Hi there,


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


ax+b+x^c=d
a,b,c \in (0,1)
d>0
x \leq d
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!