Logarithm Worksheet With Answer Key - Blake Farman, University Of South Carolina

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MATH 111:
HOMEWORK 08 SOLUTIONS
BLAKE FARMAN
UNIVERSITY OF SOUTH CAROLINA
4.1
16. Find the given logarithm.
(a) log
(1),
9
8
(b) log
(9
),
9
(c) log
(9).
9
0
Solution. (a) Since 1 = 9
, we have log
(1) = 0.
9
8
(b) Here log
(9
) = 8.
9
1
(c) Here log
(9
) = 1.
9
18. Find the given logarithm.
(a) log
(1),
7
(b) log
(49),
7
1
(c) log
(
).
7
49
0
Solution. (a) Since 7
= 1 we have log
(1).
7
2
2
(b) If we write 49 = 7
, then we have log
(49) = log
(7
) = 2.
7
7
(c) Using the laws of logarithms we have
1
log
= log
(1)
log
(49) = 0
2 =
2.
7
7
7
49
24. Find the given logarithms
1
(a) log
,
3
27
(b) log
( 10),
10
(c) log
(0.2).
5
Date: May 22, 2013.
1

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