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If 5^x 5^x - 3 = (124)(5^y), what is y in terms of x? A. x

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Intern
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Joined: 08 Nov 2008
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If 5^x 5^x - 3 = (124)(5^y), what is y in terms of x? A. x [#permalink] New post 11 Nov 2008, 13:37
If 5^x – 5^x - 3 = (124)(5^y), what is y in terms of x?

A. x
B. x - 6
C. x - 3
D. 2x + 3
E. 2x + 6
Director
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Joined: 14 Aug 2007
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Re: y in terms of x [#permalink] New post 11 Nov 2008, 19:10
petercao wrote:
If 5^x – 5^x - 3 = (124)(5^y), what is y in terms of x?

A. x
B. x - 6
C. x - 3
D. 2x + 3
E. 2x + 6


simplifies to

5^x(1 - 1/5^3) = 124 * 5^y
5^x ( 124/5^3) = 124 * 5^y

(5^x)/(5^3) = 5^y

5^(x-3) = 5^y

y = x-3
C
Re: y in terms of x   [#permalink] 11 Nov 2008, 19:10
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If 5^x 5^x - 3 = (124)(5^y), what is y in terms of x? A. x

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