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1. Find the value of the expression.
log5
A) -5
B) -2
C) 2
D) 5
2. Write the expression as the logarithm of a single number or expression with a coefficient of 1. Assume all variables represent positive numbers.
ln (2x + 2) + ln (x + 8)
A) ln
B) ln (2x2 + 10x + 16)
C) ln (3x + 10)
D) ln (2x2 + 18x + 16)
3. Use a calculator to evaluate the logarithm. ln 289
A) 2.4609
B) 106.6421
C) 0.1759
D) 5.6664
4. Write in logarithmic form.
2-3 =
A) -3 = log1/8 2
B)
= log2 -3
C) 2 = log-3
D) -3 = log2
5. Find the value of the expression.
log9
A) 81
B) -3
C) -81
D) 3
6. Write in logarithmic form. 43 = 64
A) 3 = log64 4
B) 64 = log4 3
C) 3 = log4 64
D) 4 = log3 64
7. Solve the equation.
e0.166x = 15
A) 2.708
B) 16.314
C) 0.45
D) 0.061
8. Solve the problem.
The number of dislocated electric impulses per cubic inch in a transformer when lightning strikes is given by
where x is the time in
milliseconds of the lightning strike. Find the number of dislocated impulses at
A) 22,000, 88,000
B) 5500, 1,408,000
C) 5500, 88,000
D) 5500, 44,000
9. Evaluate the expression. log7 0.593
A) 11.8044
B) -0.2685
C) -0.2269
D) -3.7238
10. Solve the problem. The growth in the population of a certain rodent at a dump site fits the exponential function
number of years since 1963. Estimate the population in the year 2000.
where t is the
A) 529
B) 1058
C) 347
D) 1091
11. Write the expression as the logarithm of a single number or expression with a coefficient of 1. Assume all variables represent positive numbers.
log 35 - log 5
A) log 12
B) log 7
C) log 30
D) log
12. Use a calculator to evaluate the logarithm.
log 2472
A) 7.8128
B) 3.3948
C) 3.3930
D) 3.3913
13. Solve the problem.
The number of bacteria growing in an incubation culture increases with time according to
days. Find the number of bacteria when
A) 1000, 6000
B) 1000, 4000
and
where x is time in
C) 1000, 8000
D) 2000, 8000
14. Solve the equation for c.
(8p + 2) = ln (2c) + ln c
A)
B)
C)
D)
15. Solve the problem. Suppose the amount of a radioactive element remaining in a sample of 100 milligrams after x years can be described by A(x) = 100e0.01657x. How much is remaining after 257 years? Round the answer to the nearest hundredth of a milligram.
A) 425.85 milligrams
B) 1.41 milligrams
C) 7070.31 milligrams
D) 0.01 milligrams
16. Solve the problem.
Use the formula P = Iekt. A bacterial culture has an initial population of 500. If its population grows to 7000 in
be at the end of
A) 2250
B) 26,192
C) 105
D) 207,063
17. Solve the equation for s. ln (r + 4) = ln (5s + 2)
A) ln 5 - r
B) ln (r + 2)
C)
D)
18. Solve the exponential equation. 102x = 1014.2
A) 10
B) -7.1
C) 7.1
D) 71
19. Convert to exponential form. log 1000 = 3
A) 103 = 1000
B) 10003 = 10
C) 310 = 1000
D) 101000 = 3
what will it
20. Solve the equation.
log x4 = (log x)4
A) 0, 1
B) 1, 6.219
C) 1, 38.672
D) 1, 4
21. Solve the equation.
log (4 + x) - log (x - 4) = log 3
A)
B) 8
C)
D) - 8
22. Write the expression as the logarithm of a single number or expression with a coefficient of 1. Assume all variables represent positive numbers.
log 4 + log 24 - log 6
A) log 16
B) log 36
C) log 11
D) log 23
23. Solve the problem.
years and
The height in meters of women of a certain tribe is approximated by
Estimate the height (to the nearest hundredth of a meter) of a woman of the tribe 4 years of age.
A) 0.96 m
B) 0.77 m
C) 1.12 m
D) 0.52 m
24. Solve the equation. log3 x = -5
A)
B) 243
C) 125
D)
25. Find the value of the expression.
A)
B)
C)
D)
log8 32
where t is the woman's age in