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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