Mathematical and Physical Journal
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Problem B. 4675. (December 2014)

B. 4675. Which is greater:

\(\displaystyle \log_{3}4\cdot \log_{3}6 \cdot \log_{3}8\cdot \dots \cdot \log_{3}2012 \cdot \log_{3}2014\)

or

\(\displaystyle 2\cdot \log_{3}3\cdot \log_{3}5 \cdot \log_{3}7\cdot \dots \cdot \log_{3} 2011 \cdot \log_{3} 2013?\)

(4 pont)

Deadline expired on January 12, 2015.


Statistics:

49 students sent a solution.
4 points:Andi Gabriel Brojbeanu, Döbröntei Dávid Bence, Fekete Panna, Kosztolányi Kata, Kovács Péter Tamás, Lajkó Kálmán, Nagy Kartal, Öreg Botond, Sal Kristóf, Schrettner Bálint, Schwarcz Tamás, Szebellédi Márton, Wei Cong Wu, Williams Kada, Zsakó Ágnes.
3 points:Bereczki Zoltán, Cseh Kristóf, Kerekes Anna, Leitereg Miklós, Mócsy Miklós, Molnár-Sáska Zoltán, Nagy-György Pál, Simon Dániel Gábor, Somogyi Pál.
2 points:12 students.
1 point:5 students.
0 point:8 students.

Problems in Mathematics of KöMaL, December 2014