LESSON Properties of Logarithms 16-1 Practice and Problem ... - About
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
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4. log6 8 + log6 27
5. log3 6 + log3 13.5
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3. log10 80 + log10 125
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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
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10. log2 1920 - log2 30
11. log3 486 - log3 2
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9. log4 384 - log4 6
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12. log6 180 - log6 5
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Simplify, if possible. 13. log4 46
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16. 12log12 1
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14. log5 5 x - 5
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17. log8 85
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15. 7log7 30
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18. log3 94
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Evaluate. Round to the nearest hundredth.
19. log12 1
20. log3 30
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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
M
=
2 3
log
E 1011.8
.
Find the energy released by an earthquake of magnitude 4.2.
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