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2024 AMC 12B Question 15

AMC12 · 2024 AMC 12B

Question 15

A triangle in the coordinate plane has vertices $A(\log_2 1, \log_2 2),$ $B(\log_2 3, \log_2 4),$ and $C(\log_2 7, \log_2 8).$ What is the area of $\triangle ABC?$
  1. $\log_2 \dfrac{\sqrt3}{7}$
  2. $\log_2 \dfrac{3}{\sqrt7}$
  3. $\log_2 \dfrac{7}{\sqrt3}$
  4. $\log_2 \dfrac{11}{\sqrt7}$
  5. $\log_2 \dfrac{11}{\sqrt3}$