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2005 AMC 10B Problem 17

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2005 AMC 10B Problem 17AMC 10 Step by Step
Name:                             Date: September 13, 2026
Exponents, Logarithms & Radicals · difficulty 3 of 5 · about 3 min · position P16-20

Suppose that 4a=54^a = 5 , 5b=65^b = 6 , 6c=76^c = 7 , and 7d=87^d = 8 . What is a⋅b⋅c⋅da \cdot b\cdot c \cdot d ?

  1. A)

    11

  2. B)

    32\frac{3}{2}

  3. C)

    22

  4. D)

    52\frac{5}{2}

  5. E)

    33

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