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Find integers E and F. (1) E^F=4 (2) F^E=1

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Find integers E and F. (1) E^F=4 (2) F^E=1 [#permalink] New post 31 Aug 2003, 11:17
Find integers E and F.

(1) E^F=4
(2) F^E=1
SVP
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Joined: 03 Feb 2003
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 [#permalink] New post 05 Sep 2003, 09:09
so the answer is...
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 [#permalink] New post 05 Sep 2003, 13:45
1. E^F = 4
Possible solutions are (4,1) and (2,2). Statement 1 is not sufficient.

2. F^E = 1
Possible solutions are E=0, F=any integer or (1,1). Statement 2 not sufficient.

Combined the only solution is E=4, F=1. Correct choice is C.
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 [#permalink] New post 05 Sep 2003, 21:02
EssQ wrote:
1. E^F = 4
Possible solutions are (4,1) and (2,2). Statement 1 is not sufficient.

2. F^E = 1
Possible solutions are E=0, F=any integer or (1,1). Statement 2 not sufficient.

Combined the only solution is E=4, F=1. Correct choice is C.


(1) you missed (-2, 2)
(2) you missed (1, -1), (1, -2) and so on

Though, C is correct.
  [#permalink] 05 Sep 2003, 21:02
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Find integers E and F. (1) E^F=4 (2) F^E=1

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