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Name _______________________________________ Date __________________ Class __________________ 4.5 Practice B Exponential and Logarithmic Equations and Inequalities Solve and check. 1. log2 x7 21 ________________________ 4. log6 (x 4 2 )2 ________________________ 7. log x log 10 14 ________________________ 10. log x log 25 2 2 ________________________ 2. log5 x3 15 ________________________ 5. log4 (x 6 6 )3 ________________________ 8. log x log 9 3 ________________________ 11. log (x 6) log (5x 2) ________________________ 3. log3 x6 12 ________________________ 6. log x log 5 2 ________________________ 9. log x log 4 1 ________________________ 12. log (x 9) log (2x 7) ________________________ Original content Copyright © by Holt McDougal. Additions and changes to the original content are the responsibility of the instructor. Holt McDougal Algebra 2 Name _______________________________________ Date __________________ Class __________________ 4.5 Problem Solving B Properties of Logarithms The Richter magnitude of an earthquake, M, is related to the energy 2 E released in ergs, E, by the formula M log 11.8 . 3 10 1. One of the largest earthquakes in the U.S., centered at San Francisco, occurred in 1906 and registered 7.8 on the Richter scale. Find the amount of energy released by the earthquake in 1906. 2. An earthquake in 1811 in Missouri measured 8.1 on the Richter scale. About how many times as much energy was released by this earthquake as by the California earthquake of 1906? 3. Find the energy released by an earthquake of magnitude 6.8. 4. Find the energy released by an earthquake of magnitude 4.2. Original content Copyright © by Holt McDougal. Additions and changes to the original content are the responsibility of the instructor. Holt McDougal Algebra 2