If \(3^k+3^k=(3^9)^{3^9}-3^k,\) then what is the value of \(k?\)

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If \(3^k+3^k=(3^9)^{3^9}-3^k,\) then what is the value of \(k?\)

by M7MBA » Sat Oct 16, 2021 5:17 am

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If \(3^k+3^k=(3^9)^{3^9}-3^k,\) then what is the value of \(k?\)

(A) \(\dfrac{11}3\)

(B) \(\dfrac{11}2\)

(C) \(242\)

(D) \(3^{10}\)

(E) \(3^{11} - 1\)

Answer: E

Source: Manhattan GMAT
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