1. The formula for the Richter magnitude, M, of an earthquake is M = log(A) Where A is the amplitude of the earthquake and A, is the amplitude of a standard earthquake with a magnitude of 0. In 2011, an earthquake occurred off the Pacific coast of the Tōhoku region of Japan. This earthquake, which measured 9.0 on the Richter scale, is one of the five most powerful earthquakes in the world since modern record-keeping began in 1900. By comparison, one of the largest earthquakes to hit Alberta was a magnitude 4.7 earthquake. This earthquake occurred in 1984, on the border between British Columbia and Alberta, just north of Waterton Lakes National Park. Determine how many times larger in amplitude the Tōhoku earthquake was compared to the Alberta quake. Express your answer to the nearest ten thousand.

5. State the numeric value of the following -5 log, x log, (x-x) log,

1. Evaluate the following. Final answer is in exact form, no decimals. 1 log, 16 – log, 32 log7 a) log, V165 log, 27 b) 343

1. Chemical Acidity In chemistry, the acidity of a water-based solution is measured by the concentration of hydrogen ions in the solution (in moles per liter). The hydrogen-ion concentration is written [H*]. Because such concentrations usually involve negative powers of ten, negative orders of magnitude are used to compare acidity levels. The measure of acidity used is pH, the opposite of the common log of the hydrogen-ion concentration: pH = -log[H] More acidic solutions have higher hydrogen-ion concentrations. A certain brand of lemon juice has a pH of 2.1, and a certain brand of cleaning ammonia has a pH of 11.6. a) Find the hydrogen-ion concentrations for the lemon juice and the ammonia. b) How many times greater Is the hydrogen-ion concentration of the lemon juice than the ammonia?