Question 148
Let $a$, $b$, and $c$ be positive real numbers satisfying $a^{b} \gt b^{a}$ and $b^{c} \gt c^{b}$. Does it follow that $a^{c} \gt c^{a}$?
MathNet 2008-part-04 — 165 problems (EN–VI) Question 148
Math Olympiad Vault · MathNet 2008-part-04 — 165 problems (EN–VI)