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MathNet 2014 Question 52

Math Olympiad Vault · MathNet 2014

Question 52

Let
$$
A=\frac{1}{6}\left(\left(\log_{2}(3)\right)^{3}-\left(\log_{2}(6)\right)^{3}-\left(\log_{2}(12)\right)^{3}+\left(\log_{2}(24)\right)^{3}\right)
$$
Compute $2^{A}$.