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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: 1608
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C is a whole number. Find C. (1) 2C=C! (2) 3^C=C^3 [#permalink]  13 Jun 2004, 12:39
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C is a whole number. Find C.

(1) 2C=C!

(2) 3^C=C^3
SVP
Joined: 03 Feb 2003
Posts: 1608
Followers: 6

Kudos [?]: 76 [0], given: 0

D is correct

can anyone solve the equations, not simply guess the answer?
Senior Manager
Joined: 05 Feb 2004
Posts: 290
Location: USA
Followers: 1

Kudos [?]: 3 [0], given: 0

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..........!!
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