Name_________________________________________ Date____________________ Class___________________
LESSON
Properties of Logarithms
16-1
Practice and Problem Solving: A/B
Express as a single logarithm. Simplify, if possible.
1. log3 9 log3 27 2. log2 8 log2 16 3. log10 80 log10 125
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4. log6 8 log6 27 5. log3 6 log3 13.5 6. log4 32 log4 128
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Express as a single logarithm. Simplify, if possible.
7. log2 80 log2 10 8. log10 4000 log10 40 9. log4 384 log4 6
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10. log2 1920 log2 30 11. log3 486 log3 2 12. log6 180 log6 5
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Simplify, if possible.
13. log4 46 14. log5 5 x 5 15. 7log7 30
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16. 12log12 1 17. log8 85 18. log3 94
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Evaluate. Round to the nearest hundredth.
19. log12 1 20. log3 30 21. log5 10
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Solve.
22. The Richter magnitude of an earthquake, M, is related to the
energy released in ergs, E, by the formula
Find the energy released by an earthquake of magnitude 4.2. __________________________
Original content Copyright © by Houghton Mifflin Harcourt. Additions and changes to the original content are the responsibility of the instructor.
251
Name_________________________________________ Date____________________ Class___________________
MODULE 16 Logarithmic Properties and Exponential and
Logarithmic Equations
LESSON 16.1
Practice and Problem Solving A/B
1. log3 243 5
2. log2 128 7
3. log10 10,000 4
4. log6 216 3
5. log3 81 4
6. log4 4096 6
7. log2 8 3
8. log10 100 2
9. log4 64 3
10. log2 64 6
11. log3 243 5
12. log6 36 2
13. 6
14. x 5
15. 30
16. 1
17. 5
18. 8
19. 0
20. 3.10
21. 1.43
22. 1.26(10)18 ergs
Original content Copyright © by Houghton Mifflin Harcourt. Additions and changes to the original content are the responsibility of the instructor.
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