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2003 AMC 10B Question 9

AMC10 · 2003 AMC 10B

Question 9

Find the value of $x$ that satisfies the equation

$$
25^{-2} = \dfrac{5^{\frac{48}{x}}}{5^{\frac{26}{x}} \cdot 25^{\frac{17}{x}}}.
$$
  1. $2$
  2. $3$
  3. $5$
  4. $6$
  5. $9$