Which is larger?
Geometry
Level
3
\[ A = \max_{x \in \mathbb{R}} \left( \log_2 3 \right)^{\sin x } \quad , \quad B = \max_{x \in \mathbb{R}} \left( \log_3 2 \right)^{\sin x }\]
\[\text{ Which is larger : } A \text{ or } B \ ? \]
by
Calvin Lin