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WorksheetsAlg34 Ch 7 Log Review
Total questions: 51
Worksheet time: 1hrs 25mins
Name
Class
Date
1.
Classify the following graph.
a)
Exponential Growth
b)
Exponential Decay
c)
Logarithmic
2.
Classify the following graph.
a)
Exponential Growth
b)
Exponential Decay
c)
Logarithmic
3.
Classify the following graph.
a)
Exponential Growth
b)
Exponential Decay
c)
Logarithmic
4.
What equation matches the graph?
a)
f(x) = 3x
b)
f(x) = (⅓)x
c)
f(x) = log₃(x)
5.
What equation matches the graph?
a)
f(x) = 3x
b)
f(x) = (⅓)x
c)
f(x) = log₃(x)
6.
Where is the asymptote?
a)
x = 1
b)
y = 1
c)
x = -1
d)
y = -1
7.
What is the domain?
a)
(-∞, ∞)
b)
(0, ∞)
c)
[1, ∞)
d)
(1, ∞)
8.
What is the range?
a)
(-∞, ∞)
b)
(0, ∞)
c)
[1, ∞)
d)
(1, ∞)
9.
Rewrite 34 = 81 in logarithmic form.
a)
log34 = 81
b)
log813 = 4
c)
log381 = 4
d)
log481 = 3
10.
log525 = ?
a)
2
b)
5
c)
125
d)
10
11.
Rewrite log28 = 3 in exponential form.
a)
28 = 3
b)
23 = 8
c)
32 = 8
d)
83 = 2
12.
Change to Exponential Form:
log636 = 2
log636 = 2
a)
26=36
b)
62=36
c)
362=6
d)
366=2
13.
Change to Logarithmic Form:
53 = 125
53 = 125
a)
log 5 125 = 3
b)
log 3 125 = 5
c)
log 5 3 =125
d)
log125 3 = 5
14.
Solve for x.
3x = 27
3x = 27
a)
2
b)
4
c)
3
d)
5
15.
The common logarithm has what base?
a)
10
b)
0
c)
e
d)
-e
16.
Rewrite log28 = 3 in exponential form/
a)
28 = 3
b)
23 = 8
c)
32 = 8
d)
83 = 2
17.
Rewrite logpt = m in exponential form.
a)
pt = m
b)
tm = p
c)
mt = p
d)
pm = t
18.
Evaluate log41
a)
1
b)
0
c)
4
d)
undefined
19.
log2128
a)
7
b)
64
c)
4
d)
1
20.
log554
a)
5
b)
625
c)
4
d)
25
21.
log432
a)
8
b)
3/2
c)
5/2
d)
6
22.
log322
a)
4
b)
1/5
c)
16
d)
8
23.
log927
a)
1/2
b)
3
c)
3/2
d)
6
24.
log776
a)
1/5
b)
6
c)
8
d)
0
25.
log50.2
a)
1
b)
10
c)
-1
d)
2
26.
log91
a)
8
b)
0
c)
1
d)
9
27.
log2(x + 2) + log2x = 3
a)
-4, 2
b)
-2, 4
c)
2
d)
1
28.
log (x) + log (x) = log (25)
a)
-5, 5
b)
5
c)
-5
d)
25
29.
Expand
a)
2log864log8x
b)
log864 + 2log8x
c)
2+log8x2
d)
2+2log8x
30.
Expand
a)
4ln3y - 3lnx
b)
ln3 + 4lny - 3lnx
c)
4ln3lny - 3lnx
d)
ln3 + lny4 - lnx3
31.
Expand
a)
2log36 + 2log3x
b)
2log36 + log3x
c)
4 + 2log3x
d)
4 + log3x
32.
Expand
a)
log39 - log3x + log3y
b)
log39 + log3x + log3y
c)
2 - log3x + log3y
d)
2 - log3x - log3y
33.
Condense
a)
log16x7
b)
log64x6
c)
log16x6
d)
log64x7
34.
Condense
a)
log16x7
b)
log64x6
c)
log16x6
d)
log64x7
35.
Solve for x:
4x- 5 = 12
4x- 5 = 12
a)
0.489
b)
2.552
c)
0.893
d)
2.044
36.
Condense to a single logarithm.
a)
ln x4/ y
b)
ln xy4
c)
ln x/ y4
d)
ln x4/ y4
37.
Condense.
a)
log2x2y10
b)
log2x2+log2y10
c)
log2x2/y10
d)
log210xy
38.
Evaluate.
a)
-2
b)
2
c)
6
d)
-6
39.
Solve for x:
8x+1= 3
8x+1= 3
a)
0.528
b)
0.893
c)
-0.472
d)
1.893
40.
Solve for x:
5 e6x+3 = 0.1
5 e6x+3 = 0.1
a)
-1.152
b)
0.232
c)
-3.077
d)
-0.854
41.
Solve for x.
ex+6 + 5 = 1
ex+6 + 5 = 1
a)
-4.614
b)
-4.236
c)
No Solution
d)
-0.334
42.
Solve for x.
6 - e12x = 5.2
6 - e12x = 5.2
a)
-0.019
b)
-0.102
c)
No Solution
d)
7.777
43.
a)
A
b)
B
c)
C
d)
D
44.
a)
A
b)
B
c)
C
d)
D
45.
When a logarithm has division inside of it, it expands using ________________.
a)
Addition
b)
Subtraction
c)
Multiplication
d)
Division
46.
Condense
a)
A
b)
B
c)
C
d)
D
47.
Condense
a)
A
b)
B
c)
C
d)
D
48.
Expand.
a)
A
b)
B
c)
C
d)
D
49.
Solve: log (x) + log (x) = log (25)
a)
-5, 5
b)
5
c)
-5
d)
25
50.
Write as a single log: log 12 + 2 log x
a)
log (12 + 2x)
b)
log (14x)
c)
log (12 * 2x)
d)
log (12x2)
51.
Rewrite 34 = 81 in logarithmic form.
a)
log34 = 81
b)
log813 = 4
c)
log381 = 4
d)
log481 = 3
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