We now consider the nonlinear equation x^{k}=k^{x} \text { for the variable } x, \text { with } k \in \mathbb{R}^{+*} \text {. } How many solutions does this have?

One Three D k (e.g., 3 if k=3) One or two, depending on the value of k O Any integer number, depending on the value of k An infinite number