WorksheetsLogarithmic Functions
Total questions: 20
Worksheet time: 40mins
Name
Class
Date
1.
Rewrite log28 = 3 in exponential form.
a)
28 = 3
b)
23 = 8
c)
32 = 8
d)
83 = 2
2.
Rewrite logpt = m in exponential form.
a)
pt = m
b)
tm = p
c)
mt = p
d)
pm = t
3.
log525 = ?
a)
2
b)
5
c)
125
d)
10
4.
Logarithmic functions are the inverse of...
a)
Linear Functions
b)
Exponential Functions
c)
Quadratic Functions
d)
Polynomial Functions
5.
Match the graph with its equation
a)
y = log6(-x) + 1
b)
y = log6(x − 2) + 1
c)
y = log6(x + 2) - 1
d)
y = log(x-8) + 1
6.
Match the graph with its equation
a)
y = log5 (x + 1) + 1
b)
y = log5 (x - 1) + 1
c)
y = log5 (x2) + 1
d)
y = log5 (x)-1
7.
Find the corresponding graph of
−log4(x+1)+2
a)
b)
c)
d)
8.
What is the domain and range of this graph?
a)
D: all real numbers
R: all real numbers
R: all real numbers
b)
D: all real numbers
R: y ≥ 0
R: y ≥ 0
c)
D: x ≥ 2
R: y ≥ 3
R: y ≥ 3
d)
D: x ≤ 2
R: y ≤ 3
R: y ≤ 3
9.
Which equation is the inverse of the equation above?
a)
b)
c)
d)
10.
Which graph best represents the following logarithmic function?
y=log4x
a)
b)
c)
d)
11.
Which graph best represents the following logarithmic function?
y=log2x
a)
b)
c)
d)
12.
Write logb(xy) as two logs
a)
logbx+logby
b)
logbx-logby
c)
logbx*logby
d)
logbx/logby
13.
Write logb(x/y) as two logs
a)
logbx-logby
b)
logbx+logby
c)
logbx*logby
d)
logbx/logby
14.
The common logarithm has what base?
a)
10
b)
0
c)
e
d)
-e
15.
The common natural logarithm has what base?
a)
10
b)
0
c)
e
d)
-e
16.
Logarithmic functions have...
a)
Vertical asymptote at x=0
b)
Vertical asymptote at x=1
c)
Horizontal asymptote at y=1
d)
Horizontal asymptote at y=0
17.
Exponential functions have...
a)
Vertical asymptote at x=0
b)
Vertical asymptote at x=1
c)
Horizontal asymptote at y=1
d)
Horizontal asymptote at y=0
18.
What value never changes in the logarithmic functions?
a)
Vertical asymptote
b)
Horizontal asymptote
c)
Domain
d)
Range
19.
Write in logarithmic form.
52 = 25
52 = 25
a)
log52 = 25
b)
log225 = 5
c)
log255 = 2
d)
log525 = 2
20.
Evaluate log5 20 to the third decimal place
a)
0.537
b)
2.996
c)
1.301
d)
1.861
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