For which real numbers $x$ and $\alpha$ inequality holds: $$\log _2 {x}+\log _x {2}+2\cos{\alpha} \leq 0$$
Problem
Source: Regional Olympiad - Federation of Bosnia and Herzegovina 2012
Tags: inequalities, algebra
Source: Regional Olympiad - Federation of Bosnia and Herzegovina 2012
Tags: inequalities, algebra
For which real numbers $x$ and $\alpha$ inequality holds: $$\log _2 {x}+\log _x {2}+2\cos{\alpha} \leq 0$$