Let $S$ be the sum of all the real coefficients of the expansion of ${(1+ix)}^{2009}$.  What is $\log_{2}(S)$?
Question:
Let $S$ be the sum of all the real coefficients of the expansion of ${(1+ix)}^{2009}$.  What is $\log_{2}(S)$?
Answer:
Let's think step by step.

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Let $S$ be the sum of all the real coefficients of the expansion of ${(1+ix)}^{2009}$.  What is $\log_{2}(S)$?
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