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1964 AMC 12 Question 21

AMC12 · 1964 AMC 12

Question 21

If $\log_{b^2}x+\log_{x^2}b=1,$ where $b\gt0,$ $b\ne1,$ and $x\ne1,$ then $x$ equals:
  1. $\dfrac1{b^2}$
  2. $\dfrac1b$
  3. $b^2$
  4. $b$
  5. $\sqrt b$