**Unit 2 Activity 7 Lab Assignment** --- **Name:** _________ 1. The intensity of an earthquake is called its magnitude, which is measured using a common logarithm. Because logs are exponents, the difference in the intensity of two earthquakes is probably a lot more than you think. For example, on 3/7/11, there was an earthquake of magnitude 3.0 in Pinnacles, CA, and later that day, another earthquake of magnitude 1.5. These values are actually \(10^3\) and \(10^{1.5}\). a. Determine how much stronger the first quake was by dividing the magnitudes: \[ \frac{10^3}{10^{1.5}} \approx \text{times as strong} \] b. One of the strongest earthquakes ever recorded occurred in Japan on 3/11/11. Use the above technique to determine how much stronger the 9.0 quake in Japan was than the 3.0 quake in Pinnacles. ---

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