APFIVE Modeling With Logarithmic Functions
The intensity of an earthquake, $$I$$, is a logarithmic function of its energy, $$E$$. If $$I(1000) = 3$$ and $$I(100000) = 5$$, which of the following functions could model this relationship?
A
$$I(E) = 3 + \frac{1}{2}\log(E/1000)$$
B
$$I(E) = 3 \cdot \log(E/1000)$$
C
$$I(E) = 3 + \log(E/1000)$$
D
$$I(E) = 2 + \log(E/1000)$$
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