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# C is a whole number. Find C. (1) 2C=C! (2) 3^C=C^3

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SVP
Joined: 03 Feb 2003
Posts: 1603

Kudos [?]: 303 [0], given: 0

C is a whole number. Find C. (1) 2C=C! (2) 3^C=C^3 [#permalink]

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13 Jun 2004, 13:39
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C is a whole number. Find C.

(1) 2C=C!

(2) 3^C=C^3

Kudos [?]: 303 [0], given: 0

SVP
Joined: 03 Feb 2003
Posts: 1603

Kudos [?]: 303 [0], given: 0

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14 Jun 2004, 00:21
D is correct

can anyone solve the equations, not simply guess the answer?

Kudos [?]: 303 [0], given: 0

Senior Manager
Joined: 05 Feb 2004
Posts: 290

Kudos [?]: 5 [0], given: 0

Location: USA

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14 Jun 2004, 06:12
Solution:
From stem 1: 2*C = C!
=> 2*C = C* (C-1)!
=> 2 = (C-1)!
=> C = 3................!!

From stem 2: C^3 = 3^C
=>3logC = Clog3
=>logC/C = log3/3
only value which satisfies this equation is C =3..........!!

Kudos [?]: 5 [0], given: 0

14 Jun 2004, 06:12
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