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IMAS 2012–2013 — Junior Division — Round 2 Question 8

IMAS · IMAS 2012–2013 — Junior Division — Round 2

Question 8

Let $a$ and $b$ be real numbers such that $3^a=2013$ and $671^b=2013$. What is the value of $\frac1a+\frac1b$?