7-3 Practice Logarithms And Logarithmic Functions Worksheet - Moc-Floyd Valley Community School District
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1
2
3NAME
DATE
PERIOD
7-3
Practice
Logarithms and Logarithmic Functions
Write each equation in exponential form.
1
1
3
6
6
= 216
2
= 64
-4
1. log
216 = 3
2. log
64 = 6
3. log
−
= -4
3
=
−
6
2
3
81
81
1
3
4. log
0.00001 = -5
5. log
5 =
−
6. log
8 =
−
10
25
2
32
5
3
1
−
−
10
-5
= 0.00001
32
= 8
25
= 5
5
2
Write each equation in logarithmic form.
log
125 = 3
log
1 = 0
log
81 = 4
3
0
4
7. 5
= 125
8. 7
= 1
9. 3
= 81
5
7
3
1
1
(
)
1
1
1
3
1
1
−
log
6 =
−
10. 3
-4
=
−
log
= -4
11.
−
=
−
log
−
= 3
12. 777 6
= 6
−
5
1
81
4
64
7776
3
5
64
−
81
4
Evaluate each expression.
1
-3
13. log
81
4
14. log
0.0001
-4
15. log
−
-4
16. lo g
27
1
3
10
2
16
−
3
2
1
0
17. log
1
18. log
4
19. log
−
-2
20. log
6
4
4
−
9
8
7
6
49
3
Graph each function.
21. f(x) = log
(x – 2)
22. f(x) = –2 log
x
2
4
f (x)
f (x)
4
4
2
2
x
x
2
4
2
4
-4
-2
-4
-2
-2
-2
-4
-4
SOUND
23.
An equation for loudness, in decibels, is L = 10 log
R, where R is the relative
10
intensity of the sound. Sounds that reach levels of 120 decibels or more are painful to
10
12
humans. What is the relative intensity of 120 decibels?
INVESTING
24.
Maria invests $1000 in a savings account that pays 4% interest
compounded annually. The value of the account A at the end of five years can be
5
determined from the equation log
A = log
[1000(1 + 0.04)
]. Write this equation in
10
10
exponential form.
5
A = 1000(1 + 0.04)
22
Chapter 7
Glencoe Algebra 2
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