Lesson 8.4 Extra Practice
STUDENT BOOK PAGES 469–476
Copyright © 2009 by Nelson Education Ltd.
1. Write each of the following as the sum or difference
of logarithms.
a) log (16 ⫻ 25)
a
b) logp a b
b
1
c) log7 a18 ⫻ b
3
14
d) log5 a b
27
1
e) log2 a b
8
f) log 13 (45 ⫻ 2.45)
2. Write each of the following as the logarithm of a
product or a quotient.
1
a) log 5 ⫺ log
2
b) log5 5 ⫹ log5 7 ⫺ log5 4
c) log3 10 ⫺ (log3 14 ⫺ log3 18)
7
d) log 16.5 ⫹ log
8
6
e) log45 12 ⫺ log45
7
f) log13 14.5 ⫺ log13 7.25 ⫹ log13 4
3. Write each of the following in the form rloga x.
a) log4 81
4
b) log3 兹16
c) log 9
4
d) log3 兹25
e) log 兹110
5 9
f) log2.5
5
兹
4. Evaluate the following logarithmic expressions.
a) log5 5 ⫹ log5 5 ⫹ log5 25
3
b) log2 兹8 ⫺ log2 兹8
4
c) log 4 32 ⫹ log 4 兹16 ⫺ log 4 64
5
3
d) log11 兹121
2
1
1
e) log 12 (32) 3 ⫹ log2 23
1
1
f) log5
⫺ log5
625
125
5. Simplify the following logarithms by expressing them
in terms of loga x, loga y, and loga z.
xy
a) loga a b
z
b) loga ( 兹yz)
1
c) loga (y 3z 3 )
1
4
z
d) loga a
b
兹xy
e) loga 兹z 3y 2
3
f) loga (x ⫺5y 2 兹z)
6. Express the following logarithmic expressions in
terms of log3 x.
3
a) log3 兹x
b) log3 9兹x
2
c) log3 (x 3 )
1
4
d) log3 a x b ⫺ log3 ( 兹x)
3
e) log3 27x ⫺ log3 9x 5
f) log3 x 2 ⫹ log3 x 7 ⫺ log3 (9x) 2
7. Simplify and evaluate the following logarithmic
expressions.
3
5
a) log2 兹16 ⫹ log2 兹64
1
b) log 6 7776 ⫺ log 6 2163
c) log12.5 156.25 ⫹ log12.5 (0.08)
5
4
3
d) log5 兹25 ⫺ log5 兹25 ⫺ log5 兹25
Lesson 8.4 Extra Practice
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