## 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

00:00

A

B

C

D

E

## Global Stats

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) $$3^{11} - 1$$

Source: Manhattan GMAT

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