WorksheetsReview Logs: Exponentials, Log Graphs, Log Properties
Total questions: 33
Worksheet time: 33mins
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.
Which has a horizontal asymptote?
a)
Exponential
b)
Logarithmic
c)
Both
6.
Which has a vertical asymptote?
a)
Exponential
b)
Logarithmic
c)
Both
7.
Where is the asymptote?
a)
x = 1
b)
y = 1
c)
x = -1
d)
y = -1
8.
Rewrite log28 = 3 in exponential form
a)
28 = 3
b)
23 = 8
c)
32 = 8
d)
83 = 2
9.
Rewrite 34 = 81 in logarithmic form.
a)
log34 = 81
b)
log813 = 4
c)
log381 = 4
d)
log481 = 3
10.
Write in logarithmic form
2-4 = 1/16
a)
log2(1/16) = -4
b)
log-4(1/16) = 2
c)
log -4 2 = 1/16
d)
log2(-4) = 1/16
11.
Write in exponential form
log232 = 5
a)
2-5 = 32
b)
232 = 5
c)
25 = 32
d)
325 = 2
12.
Solve for x:
logx 25 = 2
logx 25 = 2
a)
5
b)
-5
c)
1/5
d)
-1/5
13.
Solve for x.
3x = 27
3x = 27
a)
2
b)
4
c)
3
d)
5
14.
Evaluate.
log381
log381
a)
4
b)
1/4
c)
-4
d)
-1/4
15.
Evaluate log41
a)
1
b)
0
c)
4
d)
undefined
16.
Rewrite log28 = 3 in exponential form/
a)
28 = 3
b)
23 = 8
c)
32 = 8
d)
83 = 2
17.
Expand
a)
A
b)
B
c)
C
d)
D
18.
Expand
a)
A
b)
B
c)
C
d)
D
19.
Condense
a)
A
b)
B
c)
C
d)
D
20.
Condense
a)
A
b)
B
c)
C
d)
D
21.
Expand the Logarithm
a)
A
b)
B
c)
C
d)
D
22.
Condense
a)
A
b)
B
c)
C
d)
D
23.
Condense
a)
log xyz3
b)
log (xy/z3)
c)
log x + log y + log z3
d)
log x3y3z3
24.
Expand
a)
log8 x + log8 y + log8 z
b)
5log8 x + 5log8 y + 5log8 z
c)
log8 xy + 5log8 z
d)
log8 x + log8 y + 5log8 z
25.
Expand
a)
5log5 a - 6log5 b
b)
5log5 a - 30log5 b
c)
5log5 a + 30log5 b
d)
30log5 b - 5log5 a
26.
Write logb(xy) as two logs
a)
logbx+logby
b)
logbx-logby
c)
logbx*logby
d)
logbx/logby
27.
Write logb(x/y) as two logs
a)
logbx-logby
b)
logbx+logby
c)
logbx*logby
d)
logbx/logby
28.
Rewrite logb(xn)
a)
nlogbx
b)
(logbx)n
c)
xnlogbx
d)
logb(xn)
29.
Write the expression as a single logarithm. Then simplify if possible.
log53 + log56 + log59
log53 + log56 + log59
a)
log569
b)
log556
c)
log5162
d)
log598
30.
Write the expression as a single logarithm. Then simplify if possible.
log 6 - log 3 + 2 log 7
log 6 - log 3 + 2 log 7
a)
log 98
b)
log 78
c)
log 56
d)
log 45
31.
Write 52 = 25 in logarithmic form
a)
log5 2 = 25
b)
log5 25 = 2
c)
log2 25 = 5
d)
No Correct Answer
32.
Evaluate.
3 log24
3 log24
a)
3
b)
6
c)
2
d)
4
33.
log773
a)
3
b)
343
c)
7
d)
21
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