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GMAT Problem Solving (PS) | If 3^x = 81, then 3^(x+3)*4^(x+1) =

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Bunuel wrote:

If \(3^x = 81\), then \(3^{(x+3)}*4^{(x+1)} =\)

(A) 5*7^5

(B) 9*7^5

(C) 2^12^4

(D) 9*12^5

(E) 2*12^7


\(3^x = 81 = 3^4\)

i.e. x=4

\(3^{(x+3)}*4^{(x+1)} =3^7*4^5 = 3^2*(4*3)^5 = 9*12^5\)

Answer: Option D

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