TITLE: Solve an equation with linear and exponential functions, $x=10^{x/10}$
QUESTION [10 upvotes]: How to solve this equation?
$$
x = 10^{x/10}
$$

REPLY [8 votes]: You can study and graph the two functions $y = x$ and $y = 10^{x/10}$.

From which you can see that there are only two solutions.