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

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Senior Manager
Joined: 08 Jun 2004
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If 5^x 5^(x - 3) = (124)(5^y), what is y in terms of x?  [#permalink]

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29 Apr 2006, 22:01
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If 5^x â€“ 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

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VP
Joined: 29 Dec 2005
Posts: 1338

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Re: PS: 5^x â€“ 5^(x - 3) [#permalink]

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29 Apr 2006, 22:06
M8 wrote:
If 5^x â€“ 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

5^x (125-1)/ 5^3 = (124)(5^y)
5^x (124)/ 5^3 = (124)(5^y)
5^(x-3) = (5^y)
y = x - 3

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Director
Joined: 10 Oct 2005
Posts: 713

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29 Apr 2006, 22:54
Good job Pro))
But isn this kind of problems I do the following thing
always factorize the smaller exp

5^x ? 5^(x - 3) = (124)(5^y)
5^(x-3)*{5^3-1}=124*(5^y)
5^(x-3)*124=124*(5^y)
5^(x-3)=5^y
x-3=y
Hence C
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Manager
Joined: 23 Mar 2006
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30 Apr 2006, 07:28
It is C. Though in my first shot I missed taking note of the 5^-3 just before marking the answer. Was abt to mark x I always make such silly mistakes!!

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30 Apr 2006, 07:28
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