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WorksheetsAlgebra 2 Unit 10 Review
Total questions: 18
Worksheet time: 9mins
Name
Class
Date
1.
Write the given equation in exponential form:
log2(⅛) = -3
log2(⅛) = -3
a)
2-3 = ⅛
b)
23 = 8
c)
32 = 8
d)
(-3)2 = ⅛
2.
Evaluate the logarithmic expression:
log5 25
log5 25
a)
2
b)
25
c)
25
d)
525
3.
Write the exponential in logarithmic form:
2-5 = 1/32
2-5 = 1/32
a)
log2 (1/32) = 5
b)
log2 (1/32) = -5
c)
log (1/32) = 25
d)
log2 (-6) = 1/32
4.
Describe the transformation to the parent function:
g(x) = -2 log x+4
g(x) = -2 log x+4
a)
Reflected, Expanded Vertically; Up 4
b)
Expanded Vertically; Down 4
c)
Reflected; Expanded Vertically; Down 4
d)
Expanded Vertically; Up 4
5.
Which equation creates the graph?
a)
log8 (x-2)
b)
log8 (x+2)
c)
log8 (x) - 2
d)
log8 (x) + 2
6.
Describe the relationship between the graphs of
y= log2 (x) and
y = 2x
y= log2 (x) and
y = 2x
a)
Reflected across the x-axis
b)
Reflected across the y-axis
c)
Reflected across y = x
d)
Rotated about the Origin
7.
Solve:
log27 x = 2/3
log27 x = 2/3
a)
18
b)
27
c)
9
d)
2/3
8.
Solve:
log2 x = 6
log2 x = 6
a)
12
b)
36
c)
64
d)
6
9.
Solve:
log81 x > 1/4
log81 x > 1/4
a)
x > 1/81
b)
x > 1/3
c)
x > 103
d)
x > 3
10.
Solve:
log7 x > 2
log7 x > 2
a)
x > 7
b)
x > 49
c)
x > 2-7
d)
x > 14
11.
Use log2 3 ≈ 1.5850 and log2 2 = 1 to approximate the value of log2 96
a)
6.5850
b)
5
c)
96
d)
5.5850
12.
Use log2 3 ≈ 1.5850 and log2 2 = 1 to approximate the value of log2 48
a)
6.5850
b)
4
c)
48
d)
5.5850
13.
Solve:
log2 2 + log2 x = logx 20
log2 2 + log2 x = logx 20
a)
18
b)
0.1
c)
10
d)
40
14.
Solve:
log5 (x+2) - log5 12 = log5 144
log5 (x+2) - log5 12 = log5 144
a)
1726
b)
10
c)
154
d)
1728
15.
Solve:
12y = 39
12y = 39
a)
3.6636
b)
0.5119
c)
1.4743
d)
36.1385
16.
Solve:
38r = 27
38r = 27
a)
0.375
b)
7.0737
c)
1.0986
d)
3.2958
17.
Express the logarithm in terms of common logs:
log2 16
log2 16
a)
log (2/16)
b)
log (16/2)
c)
log 2/
log 16
log 16
d)
log 16/
log 2
log 2
18.
Express the logarithm in terms of common logs:
log 6 5.4
log 6 5.4
a)
log 6/
log 5.4
log 5.4
b)
log (6/5.4)
c)
log (5.4/6)
d)
log 5.4/
log 6
log 6
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