1. Use the compound interest formulas A = P
nt
and A = Pert to solve.
Find the accumulated value of an investment of $5000 at 5% compounded monthly for 8 years.
A) $7452.93
2. Solve the logarithmic equation. Be sure to reject any value that is not in the domain of the
original logarithmic expressions. Give the exact answer.
log (x + 4) = log (5x - 5)
A)
3. Write the equation in its equivalent logarithmic form.
42 = 16
D) log2 16 = 4
4. Use properties of logarithms to condense the logarithmic expression. Write the expression as
a single logarithm whose coefficient is 1. Where possible, evaluate logarithmic expressions.
log x + log 14
C) log 14x
5. Solve the exponential equation. Express the solution set in terms of natural logarithms.
4x+8 = 7
C)
6. Solve the logarithmic equation. Be sure to reject any value that is not in the domain of the
original logarithmic expressions. Give the exact answer.
log 3 (x + 6) + log 3 (x - 6) - log 3 x = 2
C) {12}
7. Evaluate or simplify the expression without using a calculator.
2
C) 4.8
8. Solve the logarithmic equation. Be sure to reject any value that is not in the domain of the
original logarithmic expressions. Give the exact answer.
log8 (x2 - 7x) = 1
B) {8, -1}
9. Use properties of logarithms to condense the logarithmic expression. Write the expression as a
single logarithm whose coefficient is 1. Where possible, evaluate logarithmic expressions.
(log4 x + log4 y) - 3 log4 (x + 1)
B) log4
10. Use properties of logarithms to condense the logarithmic expression. Write the expression as
a single logarithm whose coefficient is 1. Where possible, evaluate logarithmic expressions.
ln x + 2ln y
D) ln xy2
11. Solve the exponential equation. Use a calculator to obtain a decimal approximation, correct to
two decimal places, for the solution.
5x+6 = 4
A) -5.14
12. Evaluate the expression without using a calculator.
ln e18x
B) 18x
13. Evaluate the expression without using a calculator.
log6
D) -1
14. Use properties of logarithms to expand the logarithmic expression as much as possible.
Where possible, evaluate logarithmic expressions without using a calculator.
log2
C) log27 - log25
15. Use properties of logarithms to expand the logarithmic expression as much as possible.
Where possible, evaluate logarithmic expressions without using a calculator.
log6
B) log62 + log611 - log65
16. Use properties of logarithms to expand the logarithmic expression as much as possible.
Where possible, evaluate logarithmic expressions without using a calculator.
logw
A) logw7 +logwx - logw2
17. Solve the exponential equation. Use a calculator to obtain a decimal approximation, correct to
two decimal places, for the solution.
7x = 6x + 7
C) 81.36
18. Use properties of logarithms to condense the logarithmic expression. Write the expression as
a single logarithm whose coefficient is 1. Where possible, evaluate logarithmic expressions.
3log6x + 5log6(x - 6)
C) log6x3(x - 6)5
19. Use properties of logarithms to expand the logarithmic expression as much as possible.
Where possible, evaluate logarithmic expressions without using a calculator.
log5
A) 1 - log5x
20. Solve the logarithmic equation. Be sure to reject any value that is not in the domain of the
original logarithmic expressions. Give the exact answer.
log7 (x + 2) - log7 x = 2
C) {
}
21. Solve the exponential equation. Use a calculator to obtain a decimal approximation, correct to
two decimal places, for the solution.
e2x = 8
B) 1.04
22. Evaluate or simplify the expression without using a calculator.
log 1000
B) 3
23. Evaluate the expression without using a calculator.
log5
D) -
24. Use properties of logarithms to condense the logarithmic expression. Write the expression as
a single logarithm whose coefficient is 1. Where possible, evaluate logarithmic expressions.
8logby + 2logbz
A) logby8z2
25. Write the equation in its equivalent logarithmic form.
7x = 343
B) log7 343 = x
26. Evaluate the expression without using a calculator.
ln
D) -6
27. Solve the logarithmic equation. Be sure to reject any value that is not in the domain of the
original logarithmic expressions. Give the exact answer.
log2(6x - 3) = log2(2x + 2)
A)
28. Use properties of logarithms to expand the logarithmic expression as much as possible.
Where possible, evaluate logarithmic expressions without using a calculator.
logb (yz6)
B) logb y + 6 logb z
29. Write the equation in its equivalent logarithmic form.
123 = y
A) log12 y = 3
30. Use properties of logarithms to condense the logarithmic expression. Write the expression as
a single logarithm whose coefficient is 1. Where possible, evaluate logarithmic expressions.
2ln a - 7 ln b
B) ln