Question 32432
I think you have mistakenly posted the same problem twice.
2^x - 2^(x-2) = 3(2^13)
=>2^x(1-1/4) = 3(2^13)
=>2^x(3/4) = 3(2^13)
=>2^x = 2^15
=>x=15;
Answer: x belongs to {15}
You have a unique name (in good sense), never heard before.