Use logo; 2 = . 5,1o34 3 w \".7925, and 094 5 w 1.1611]I to approximate the value of each expression. 1. log, 26 2. 11134 9 3. 0ng 8 4. The magnitude of an earthquake is measured on the Richter scale using the formula M = fogm x, where x is the intensity of the seismic wave causing the ground motion. In 200?, an earthquake near San Francisco registered approximately 5.6 on the Richter scale. The famous San Francisco earthquake of 1966 measured 8.3 in magnitude. a. How many times more intense, was the 1906 earthquake than the 2003" earthquake? h. Richter himself classified the 1966 earthquake as having a magnitude of B. 3. More recent research indicates it was most likely a 19. How many times greater in intensity was Riehter's measure of the earthquake? Given 095 8 = 1.1606, log? 9 x 1.1292 approximate the value of each expression. 5. log? 31 6. Eng? 7329 Solve each equation. Check your solutions. 7. log3 56 - log3 n = log3 7 8. log2 (4x) + log2 5 = log2 40 9. 5 log2 x = log2 32 10. Suppose there are 5000 humpback whales in existence today, and the population decreases at a rate of 4% per year. a. Write a logarithmic function for the time in years based upon population. b. After how many years will the population drop below 1000? Is this reasonable?Use a calculator to evaluate each expression to the nearest ten-thousandth. 1. log3 2.10g0.9 3. Loretta had a new muffler installed on her car. The noise level of the engine dropped from 85 decibels to '73 decibels. a. How many times the minimum intensity of sound detectable by the human ear was the car with the old muffler, if m is defined to be 1? b. How many times the minimum intensity of sound detectable by the human ear was the car with the new muffler? Find the percent of decrease of the intensity of the sound with the new muffler. Solve each equation. Round to the nearest ten-thousandth. 4. 5x = 55 5. 95-1 = 7b 6. 15362 = 110 Solve each inequality. Round to the nearest ten-thousandth. 7. 24" -=_: 20 a. 51\"2 :_> 21' Express each logarithm in terms of common logarithms. Then approximate its value to the nearest ten-thousandth. 9. logg 31 10. [0'94 9 11. [05:6 33 12. The number n of pet owners in thousands after t years can be modeled by n = 35[log4 (t + 2)]. Let t = 0 represent 2000. Use the Change of Base Formula to answer the following questions. a. How many pet owners were there in 2010? b. In what year are there 80,000 pet owners? Does your answer seem reasonable