28.68. How many solutions does the equation $\left(\frac{1}{16}\right)^{x}=\log _{\frac{1}{16}} x$ have?
28.68. Answer: three. The roots $x_{1}=1 / 2$ and $x_{2}=$ $=1 / 4$ are easily guessed. In addition, there is a root of the equation $x=\left(\frac{1}{16}\right)^{x}$. And this equation cannot have more than three roots according to problem 28.67.

Remark. If you try to solve this equation graphically, it may seem that it has only one root. But in fact, the graphs intersect not at one point, but at three.