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2
2009 Algebra #2 - Sum of Coefficients of Expansion
2009 Algebra #2 - Sum of Coefficients of Expansion
Source:
January 2, 2012
logarithms
HMMT
complex numbers
Problem Statement
Let
S
S
S
be the sum of all the real coefficients of the expansion of
(
1
+
i
x
)
2009
(1+ix)^{2009}
(
1
+
i
x
)
2009
. What is
log
2
(
S
)
\log_2(S)
lo
g
2
(
S
)
?
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