Alg II Review over 7.4-7.6 Name
Sec 7.4
Write each expression as a single logarithm.
1. 3.
10. 5 log 2 − 2 log 2 17.
Expand each logarithm. Simplify if possible.
24. 25. log 7(3x − 2)2
27.
Use the Change of Base Formula to evaluate each expression. Round your answer to the nearest thousandth.
31. 33. 34.
Determine if each statement is true or false. Justify your answer.
40. log 12 = log 4 + log 3 41.
43.
Use the properties of logarithms to evaluate each expression.
44. 45.
Sec 7.5
Solve each equation.
2. 4.
Solve each equation. Round answers to the nearest hundredth.
7. 9.
11.
Solve by graphing. Round to the nearest hundredth. Show input/output. Sketch graph from calculator.
14. 15.
Use a table to solve each equation. Round to the nearest hundredth. Show input/output.
22. 25.
Solve each equation. Check your answers.
32. 38. 2 log x = 2
39. log (2x + 5) = 3
Solve each equation.
44. log x − log 4 = 3 46. 2 log x − log 4 = 2
52. log (x + 21) + log x = 2
Mental Math Solve each equation.
56. 57. 58.
60. 61. log 1,000,000 = x
Sec 7.6
Write each expression as a single natural logarithm.
2. 3 ln 3 + ln 9 4. ln z - 3 ln x
5. ln 9 + ln 3x
Solve each equation. Check your answers. Round your answer to the nearest hundredth.
11. 2 ln (3x - 4) = 7 13. -7 + ln 2x = 4
17. ln x + ln 4 = 2 23. 5 ln (3x - 2) = 15
Use natural logarithms to solve each equation. Round your answer to the nearest hundredth.
29. 4ex = 10 32. ex-4 = 2
33. 5e6x+3 = 0.1 35.
Simplify each expression.
53. ln e4 54. 5 ln e5 55. 56. ln e100