If 2^x-2^(x-2)=3*2^13 what is the value of x? GMAT Explanation + Additional Examples!

If \( 2^x-2^{x-2} = 3 \times 2^{13} \) what is the value of x?

A. 9
B. 11
C. 13
D. 15
E. 17

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Correct Answer: D