If 2^(x+y) = 64 and 2^(x-y) = 4, what is the value of x?
✓ Correct Answer: Option B
From 2^(x+y) = 64, we get x+y=6. From 2^(x-y) = 4, we get x-y=2. Adding these two equations: (x+y) + (x-y) = 6+2, which simplifies to 2x=8. Therefore, x=4.
From 2^(x+y) = 64, we get x+y=6. From 2^(x-y) = 4, we get x-y=2. Adding these two equations: (x+y) + (x-y) = 6+2, which simplifies to 2x=8. Therefore, x=4.