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2005 AMC 10B Question 17

AMC10 · 2005 AMC 10B

Question 17

Suppose that $4^a = 5,$ $5^b = 6,$ $6^c = 7,$ and $7^d = 8.$ What is $a \cdot b \cdot c \cdot d?$
  1. $1$
  2. $\dfrac32$
  3. $2$
  4. $\dfrac52$
  5. $3$