Well, the question is this really. 

Find the solution to the eqn. $2^{\cos x}=|x| $

Can it done by plotting on the $\cos$ curve? If we square and take log on both sides, I think we get something similar to $\cos{x} = \log\_2{x}$. So $\frac{1}{2} \leq x \leq 2$ ?

Thanks for the help :)