I am trying to invert the function below with respect to $w$ but in vain. Can you show me how ?
$$m[w,x] = sgn[x]|x|^w$$
where $w\geq 0, x \in [-1,1]$, which results in $m[w,x] \in [-1,1]$
I am not sure if below is the correct answer ? $$w = sgn(x) \frac{log(m)}{log(|x|)}$$