Question 2
Find all real numbers $x \in (2, \infty)$ for which
$$
\cos(\pi \log_3 (x+6)) \cdot \cos(\pi \log_3 (x-2)) = 1.
$$
$$
\cos(\pi \log_3 (x+6)) \cdot \cos(\pi \log_3 (x-2)) = 1.
$$
MathNet 2016-part-04 — 184 problems (EN–VI) Question 2
Math Olympiad Vault · MathNet 2016-part-04 — 184 problems (EN–VI)