Question 3
a) Compare the numbers $2^{53}$ and $3^{35}$.
b) Show that, if $5b \ge 3a \gt 0$, then $2^{\overline{ab}} \lt 3^{\overline{ba}}$.
b) Show that, if $5b \ge 3a \gt 0$, then $2^{\overline{ab}} \lt 3^{\overline{ba}}$.
MathNet 2017-part-05 — 176 problems (EN–VI) Question 3
Math Olympiad Vault · MathNet 2017-part-05 — 176 problems (EN–VI)