If 2^x-2^(x-2)=3*2^13 what is the value of x?

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*2^13 what is the value of x?

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

Correct Answer: D