Chapters 6 & 8
Review for Test 3
Name:
Practice these problems.
Study your quizzes, worksheets, examples done in class, and WileyPlus
homework.
1. State the rules of logarithms and inverse properties for each case:
(a) common logarithm
(b) natural logarithm
(c) logarithm with base
b
2. Expand.
(a) ln
2
xy
3
z
4
(b) log
5(
x
+ 3)
√
x

2
3. Contract and simplify.
(a) log(
x
) + log(
x
2
)

log(
yx
)

6 log(
y
)
(b) ln(
p

1) + ln(
r
) + ln(4
p
)

3 ln
p
r
4. Complete Solving for
x
worksheet.
5. Sketch the function
y
= ln(
x
+ 2)

3.
6. What effect does
p
have on the graph of
f
(
x
) = log(
x
p
)? Be specific.
7. Show graphically that
y
= 10
x
and
y
= log(
x
) are inverse functions.
8. Write the general equations for:
(a) compounding annually
(b) compounding
n
times
(c) compounding continuously
9. Identify the annual factor for each part in Question 5.
10. Complete Ch.5/Ch.6 worksheet.
11. State the complete definition for rewriting
f
(
t
) =
Ca
t
in terms of
f
(
t
) =
Ce
k
t
.
12. Convert from
e
k
to
a
.
(a)
y
= 3
.
56
·
e

5
t
(b)
y
=
e
t
(c)
y
=

2
·
e
3
t/
2
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Review
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 Fall '08
 HITCHCOCK
 Quadratic equation, Inverse function, Natural logarithm, Logarithm

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