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2009 AMC 12B Question 15

AMC12 · 2009 AMC 12B

Question 15

Assume $0 \lt r \lt 3.$ Below are five equations for $x.$ Which equation has the largest solution $x?$
  1. $3(1 + r)^x = 7$
  2. $3(1 + \frac{r}{10})^x = 7$
  3. $3(1 + 2r)^x = 7$
  4. $3(1 + \sqrt{r})^x = 7$
  5. $3(1 + \frac{1}{r})^x = 7$