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WorksheetsExponentials and Logs
Total questions: 15
Worksheet time: 15mins
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 is the domain?
a)
(-∞, ∞)
b)
(0, ∞)
c)
[1, ∞)
d)
(1, ∞)
6.
What is the range?
a)
(-∞, ∞)
b)
(0, ∞)
c)
[1, ∞)
d)
(1, ∞)
7.
Rewrite as an exponential: log28 = 3
a)
32 = 8
b)
23 = 8
c)
28 = 3
d)
83 = 2
8.
Rewrite as an exponential: log7(491)=−2
a)
7491=−2
b)
(491)−2=7
c)
7−2=491
d)
(−2)7=491
9.
Rewrite as an exponential: log93=21
a)
921=3
b)
321=9
c)
93=21
d)
(21)9=3
10.
Rewrite as a log: 70 = 1
a)
log7(1) = 0
b)
log0(7) = 1
c)
log7(0) = 1
d)
log1(0) = 7
11.
What is the base for the following log:
y = log (x)
a)
1
b)
0
c)
10
d)
2
12.
Find x: log2(32) = x
a)
x = 5
b)
x = 16
c)
x = 4
d)
x = 6
13.
Solve for x:
log5(625)=x.
log5(625)=x.
a)
4
b)
2
c)
3
d)
10
14.
Rewrite as an exponential:
log(10,000)=4.
log(10,000)=4.
a)
e4=10,000
b)
410,000=10
c)
104=10,000
d)
04=10
15.
Solve for x:
log4(64)=x.
log4(64)=x.
a)
16
b)
10
c)
3
d)
8
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