22. Given that log3 a = 6 and log3 b = 5, determine the value of log3 (27ab2). 23. An earthquake measuring 5.3 on the Richter scale is 125 times more intense than a second earthquake. Determine to the nearest tenth, the Richter scale measure of the second earthquake. 24. The population of a city was 173500 on January 1, 1998, and it was 294000 on January 1, 2012. If the growth rate of the city can be modeled as an exponential function, then the average annual growth rate of the city, expressed to the nearest tenth of a percentage, was 25. The logarithmic function y = log1 x has undergone a horizontal stretch about the y - axis by a factor of 16. This can be expressed in the form: y = logix + b. Determine the value of b. 26. The population of a town is decreasing exponentially by 30% every 5 years. If the current population is 9355, what will the population be in 18 years?27. The point (, -3) is on the graph of the function f (x) = 10gc x and the point (4, k) is on the graph of the inverse, y = f-1(x). Determine the value of k. 28. Determine the solution for the equation given by = 2 ( 16 ) 21 - 3 Round your answer to the nearest tenth. 29. Determine, without technology, the value of: log, 625 + 3log, 49 + 1082 16 _ + log, b + log. 1. 30. A man invests $5000 at his daughter's birth in an account which compounds monthly. The account is valued at $16,349.26 after 18 years. What was the annual rate of interest that the man received to the nearest tenth?31. Determine the x-intercept on the inverse of f (x) = ax+1 + b. 32. Solve algebraically: log4 (x + 2)-log4 (x -1) =2. State the restrictions and verify your solution. [2 marks] 33. Solve algebraically: 5(2)*+1 = 7*. Write your answer as an exact value and as a decimal rounded to the nearest thousandth. Verify your solution. [2 marks] 34. Given log, a = 2.5 and log, b =3.5 determine log, a to the nearest hundredth