Algebra 2 NAME _____________________________ Chapter 7 pretest – Exponential and Logarithmic Functions 45 Minutes – 30 Questions DIRECTIONS: Solve each problem, choose the correct answer, and then fill in the corresponding oval on your answer document. Students may write on this test, and you can use your answer document as scratch paper. Refer to the formula sheet when needed. You are permitted to use a calculator on this test. Illustrative figures are NOT necessarily drawn to scale. 1. Rewrite the equation in exponential form. log 64 3 A. 3
64 B. 3
3. Rewrite the equation in logarithmic form. 2
32 A. log 5
32 81 B. log 32
5 C. 64
4 C. log 32
2 D. 4
64 D. log
5 E. 4
3 E. log 2
2. Rewrite the equation in exponential form. log 1 0 1 F. 8
2
25 4. Rewrite the equation in logarithmic form. 7
7 1 F. log 7
G. 8
0 G. log 1
0 H. 8
8 H. log 7
7 J. 0
8 J. log 1
7 K. 1
0 K. log 7
1 5. Evaluate the expression. 8. Simplify the expression. log 27 5
A. 0 F. 5 G. H. 2 J. 3 1
B. 2
C. 1 D. 3 E. 9 K. 25 9. Simplify the expression. 6. Evaluate the expression. log 2 A. 2 B. F. 0 C. 2 1
2
D. 3 log
6 G. H. 1 J. 2 K. 6 E. 8 10. The Richter magnitude R is given by the model: .
·
.
. Where E is the energy (in kilowatt‐hours) released by the earthquake. Suppose an earthquake releases 2,500,000 kilowatt‐hours of energy. What is the earthquake’s magnitude? F. 4.82 7. Evaluate the expression. log
1
5
A. 0 B. 1
2
G. 5.46 C. 1 H. 6.28 D. 2 J. 7.45 E. 1 K. 8.00 2
11. Rewrite the expression in terms of log 2 and log 3. log 6 A. log 2 log 3 B. log 2
C. 2 log 3 D. log 2
E. 3 log 2 14. Condense the expression. log 4
log 3 log 3 log 3 G. log 2
log 3 H. 2 log 3 J. log 2
K. 3 log 2 B. log 5
C. 5 log 3 D. log 5
E. 3 log 5 G. log
H. log 4 J. log 24 log 3 4
6
A. log 10 log 6 4
6
B. log
C. log 4 D. log 24 E. log 2 16. Condense the expression. 13. Rewrite the expression in terms of log 2 and log 3. log 3 A. log 5 log 3 log 4
2
log
3
F. log 2
F. log 10 K. log 2 15. Condense the expression. 12. Rewrite the expression in terms of log 2 and log 3. log 6 2 log 4
log 3 log 3 3
F. log 4 G. log 6 H. log 8 J. log 12 K. log 16 log 17. Calculate the expression. log 5280 A. 0.678 20. Use the change‐of‐base formula to evaluate the expression. log 12 F. 0.333 B. 1.277 G. 1.792 C. 2.796 H. 2.117 D. 3.722 J. 3.648 E. 4.159 K. 4.876 18. Calculate the expression. ln 64 F. 0.678 21. Use the change‐of‐base formula to evaluate the expression. log 2 A. 0.333 G. 1.277 B. 1.792 H. 2.796 C. 2.117 J. 3.722 D. 3.648 K. 4.159 E. 4.876 19. Calculate the expression. log 625 A. 0.678 22. Use the change‐of‐base formula to evaluate the expression. log 55 F. 0.333 B. 1.277 G. 1.792 C. 2.796 H. 2.117 D. 3.722 J. 3.648 E. 4.816 K. 4.876 4
23. Solve the exponential equation. 3
3 A. 1 26. Solve the logarithmic equation. log
3
log 8 F. 1 B. 2 G. 2 C. 3 H. 3 D. 4 J. 4 E. 8 K. 5 27. Solve the logarithmic equation. log 5
log 30 A. 5 24. Solve the exponential equation. 4
4
F. 1 G. 2 B. 6 H. 3 C. 7 J. 4 D. 8 E. 9 K. 5 25. Solve the exponential equation. 5
25 A. 1 28. Solve the logarithmic equation. log 3
5
F. 1 B. 2 G. 2 C. 3 H. 3 D. 4 J. 4 E. 5 K. 5 5
log
13 29. Solve the exponential equation. 31. Solve the exponential equation. 5
A. 0.678 B. 1.948 C. 2.337 D. 3.084 E. 4.018 43 5 32. Solve the logarithmic equation. ln 5
3
2 30. Solve the logarithmic equation. log
6 F. 8 G. 16 H. 32 J. 64 K. 128 6