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GMAT Problem Solving (PS) | If 5^x - 5^x-3 = (124)(5^y)

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peterpark 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


\(5^x - 5^{x-3} = (124)(5^y)\)

i.e.\(5^{x-3}(5^3 - 1) = (124)(5^y)\)

i.e.\(5^{x-3}(124) = (124)(5^y)\)

i.e.\(5^{x-3} = (5^y)\)

i.e. y = x-3

Answer: Option C
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