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Modeling With Logarithmic Functions

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The intensity of an earthquake, II, is a logarithmic function of its energy, EE. If I(1000)=3I(1000) = 3 and I(100000)=5I(100000) = 5, which of the following functions could model this relationship?

A

I(E)=3+log(E/1000)I(E) = 3 + \log(E/1000)

B

I(E)=3log(E/1000)I(E) = 3 \cdot \log(E/1000)

C

I(E)=3+12log(E/1000)I(E) = 3 + \frac{1}{2}\log(E/1000)

D

I(E)=2+log(E/1000)I(E) = 2 + \log(E/1000)

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