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2008 AMC 12B Question 14

AMC12 · 2008 AMC 12B

Question 14

A circle has a radius of $\log_{10}(a^2)$ and a circumference of $\log_{10}(b^4).$ What is $\log_a b?$
  1. $\dfrac{1}{4\pi}$
  2. $\dfrac{1}{\pi}$
  3. $\pi$
  4. $2\pi$
  5. $10^{2\pi}$