4.06 Exponential and Logarithmic Functions Exam
1. The function is an example of an exponential function.
3. The function f(x) = logx is a logarithmic function.
5. Write log_{8}y = x as an exponential function.
6. Write 5^{x} = 40 as a logarithmic function.
7 log_{9}81 = 2 rewritten in exponential form is 9^{2} = 81.
 

9. Evaluate
10. Write 1 – 3log_{5}x as a single logarithm.
11. The following is the graph of f(x) = 3^{x}.
13. What is the transformation that occurs to the equation y = 2^{x} if it changes to y = 2^{x  8}?
15. The following is the graph of f(x) = 4^{x}.
17. What is the domain for the function f(x) = 2^{x + 5}?
19. You invest $1,100 in an account that has an annual interest rate of 2.1%, compounded continuously. How much money will be in the account after 7 years? Round your answer to the nearest whole number.
20. The parent function of the following graph is f(x) = 2^{x}. What is the equation of the following graph?
21. Determine if the equation y = (0.9)^{x} represents exponential growth or decay.
22. This is the graph of f(x) = log(x).
The "a" value stretches the function vertically by a factor of a. 
24. The following is the graph of f(x) = 3log(x).
27. What is the domain of f(x) = log(x + 1) + 4?
29. Solve x = log_{2}100. Round your answer to the nearest hundredth.
30. Solve 8^{x} = 60. Round your answer to the nearest hundredth.
31. Solve 7log_{9}(x + 8) = 7.
32. What is the approximate solution of the function at x = 2?
33. Write x^{6} = 100 as a logarithmic function.
34. Write 2log_{3}5 + log_{3}2 as a single logarithm.
35. What is the transformation that occurs to the equation y = 2^{x} if it changes to y = 2^{x + 8} + 4?
36. What is the range of the function y = 2^{x + 3} + 2?
37. You invest $1, 500 in an account that has an annual interest rate of 3.4%, compounded continuously. How much money will be in the account after 6 years? Round your answer to the nearest whole number.
39. What is the domain of f(x) = log(x + 3) – 4?
40. The solution to (2.4)^{x} = 9 is approximately 3.75.
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