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Worksheets

Exponential and Log Functions

Total questions: 20

Worksheet time: 54mins

Name
Class
Date
1.
log525 = ?
a)
2
b)
5
c)
125
d)
10
2.
Rewrite 34 = 81 in logarithmic form.
a)
log34 = 81
b)
log813 = 4
c)
log381 = 4
d)
log481 = 3
3.

This is an example of:


(a)  
Choose from the below words
Exponential Growth
Linear Growth
Linear Decay
Exponential Decay
4.
Evaluate log41
a)
1
b)
0
c)
4
d)
undefined
5.
Evaluate log8 8
a)
8
b)
-1
c)
0
d)
1
6.
Classify the following graph.
a)
Exponential Growth
b)
Exponential Decay
c)
Logarithmic
7.

Convert the exponential form to logarithmic form: 53=1255^3 = 125 .

a)

log5125=3\log_5{125} = 3

b)

log35=125\log_3{5} = 125

c)

log1255=3\log_{125}{5} = 3

d)

log53=125\log_{5}{3} = 125

8.

Convert the logarithmic form to exponential form: log10(100)=2\log_{10}(100) = 2 .

a)

102=10010^2 = 100

b)

1002=10100^2 = 10

c)

210=1002^{10} = 100

d)

2100=102^{100} = 10

9.

Rewrite in logarithmic form:

62 = 36

a)

log6 2 = 36

b)

log6 36 = 2

c)

ln 36 = 2

d)

636 = 2

10.

Rewrite in exponential form:

log3(9)=2.

a)

39=2

b)

32=9

c)

x2=9

d)

3x=2

11.

Rewrite in logarithmic form:

53 = 125

a)

log 5 125 = 3

b)

log 3 125 = 5

c)

log 5 3 =125

d)

log125 3 = 5

12.
What equation matches the graph?
a)
f(x) = 3x
b)
f(x) = (⅓)x
c)
f(x) = log₃(x)
13.
Logarithmic functions are the inverse of...
a)
Linear Functions
b)
Exponential Functions 
c)
Quadratic Functions 
d)
Polynomial Functions 
14.

Is the pictured graph growth, decay, or linear or none?

a)

Exponential Growth

b)

Exponential Decay

c)

Linear

d)

None

15.

Which graph represents exponential decay?

a)
b)
c)
d)
16.
Is this exponential growth or decay?
a)
Growth
b)
Decay
17.
Change to Exponential Form:
log636 = 2
a)
26=36
b)
62=36
c)
362=6
d)
366=2
18.
Rewrite 34 = 81 in logarithmic form.
a)
log34 = 81
b)
log813 = 4
c)
log381 = 4
d)
log481 = 3
19.
Is this exponential growth or decay?
a)
Growth
b)
Decay
20.
Classify the following graph.
a)
Exponential Growth
b)
Exponential Decay
c)
Logarithmic