Earthquake energy The energy E (in ergs) released during an earthquake of magnitude R may be approximated by using the formula log E = 11.4 + (1.5)R. (a) Solve for E in terms of R. (b) Find the energy released during the earthquake off the coast of Sumatra in 2004, which measured 9.0 on the Richter scale.

Express the equation in logarithmic form. (a) 4-3/2 = 0.125 118 (b) 73 = 343 00 3 x

The Richter scale rating of an earthquake of intensity x is given by log (x) - log (x₁), where x₁ is the intensity of a small "benchmark" earthquake. Write the Richter scale rating as a single logarithm. What is the Richter scale rating of an earthquake for which x = 100,000,000x0? Using a single logarithm, the Richter Scale rating of an earthquake in terms of x and xo is The Richter scale rating of an earthquake for which x= 100,000,000x is.