Question 132
a) Compare the numbers $A = \sqrt[3]{4} + \sqrt[3]{13}$ and $B = \sqrt[3]{9} + \sqrt[3]{8}$.
b) Prove that $\log_{2} 3 + \log_{3} 4 \in (2, 3)$.
b) Prove that $\log_{2} 3 + \log_{3} 4 \in (2, 3)$.
MathNet 2016-part-03 — 184 problems (EN–VI) Question 132
Math Olympiad Vault · MathNet 2016-part-03 — 184 problems (EN–VI)