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a in 2 ^ a = a ^ 3

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by sanju09 » Thu Jul 08, 2010 1:05 am
If the operation ^ is defined by the equation x ^ y = 2 x + y, what is the value of a in 2 ^ a = a ^ 3?
(A) -1
(B) 0
(C) 1
(D) 3
(E) 4
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Source: — Problem Solving |

by papgust » Thu Jul 08, 2010 1:08 am
2^a = a^3

2*2 + a = 2*a + 3

[spoiler]a = 1[/spoiler]
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by Tani » Thu Jul 08, 2010 9:50 am
This would also be an easy problem to backsolve
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