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Name _______________________________________ Date __________________ Class __________________
4.5 Practice B
Exponential and Logarithmic Equations and Inequalities
Solve and check.
1. log2 x7  21
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4. log6 (x  4  2
)2
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7. log x  log 10  14
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10. log x  log 25  2
2
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2. log5 x3  15
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5. log4 (x  6  6
)3
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8. log x  log 9  3
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11. log (x  6)  log (5x  2)
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3. log3 x6  12
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6. log x  log 5  2
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9. log x  log 4  1
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12. log (x  9)  log (2x  7)
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Original content Copyright © by Holt McDougal. Additions and changes to the original content are the responsibility of the instructor.
Holt McDougal Algebra 2
Name _______________________________________ Date __________________ Class __________________
4.5 Problem Solving B
Properties of Logarithms
The Richter magnitude of an earthquake, M, is related to the energy
2
 E 
released in ergs, E, by the formula M  log  11.8  .
3
 10

1. One of the largest earthquakes in the
U.S., centered at San Francisco,
occurred in 1906 and registered 7.8 on
the Richter scale. Find the amount of
energy released by the earthquake in
1906.
2. An earthquake in 1811 in Missouri
measured 8.1 on the Richter scale.
About how many times as much energy
was released by this earthquake as by
the California earthquake of 1906?
3. Find the energy released by an
earthquake of magnitude 6.8.
4. Find the energy released by an
earthquake of magnitude 4.2.
Original content Copyright © by Holt McDougal. Additions and changes to the original content are the responsibility of the instructor.
Holt McDougal Algebra 2