SOLUTION: How are you tutors doing? Thanks again for this wonderful site. Please explain how to solve this exponents question and similar questions: If 2^x - 2^(x-2) = 3(2^13), what i

Algebra ->  Exponents -> SOLUTION: How are you tutors doing? Thanks again for this wonderful site. Please explain how to solve this exponents question and similar questions: If 2^x - 2^(x-2) = 3(2^13), what i      Log On


   

Question 32433: How are you tutors doing? Thanks again for this wonderful site.
Please explain how to solve this exponents question and similar questions:
If 2^x - 2^(x-2) = 3(2^13), what is the value of x?
Please note that 2^x means 2 raised to the power x and 2^(x-2) means 2 raised to the power (x-2)

Thanks for your time
Tolly
Answer by mukhopadhyay(490) About Me  (Show Source):
You can put this solution on YOUR website!
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}