If 2^k + 2^k = (2^9)^(2^9) - 2^k, then k = ?  Choices:
A) 11/3
B) 11/2
C) 2^11 - 1
D) 3^10
E) 3^11 - 1
2^k + 2^k = (2^9)^2^9 - 2^k   2*(2^k) = 2 ^ (4 * 3^9 ) = 2^(2^2 * 2^9) = 2^(2^11)   2^k+1 = 2^(2^11)   So k+1 = 2^11   So k = 2^11 -1   Answer is 2^11 - 1
<result>C</result>
If 2^k + 2^k = (2^9)^(2^9) - 2^k, then k = ?