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1970 AMC 12 Question 3

AMC12 · 1970 AMC 12

Question 3

If $x=1+2^p$ and $y=1+2^{-p},$ then $y$ in terms of $x$ is:
  1. $\dfrac{x+1}{x-1}$
  2. $\dfrac{x+2}{x-1}$
  3. $\dfrac{x}{x-1}$
  4. $2-x$
  5. $\dfrac{x-1}{x}$