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WorksheetsLogarithmic Functions Practice
Total questions: 15
Worksheet time: 47mins
Name
Class
Date
1.
Rewrite log28 = 3 in exponential form.
a)
28 = 3
b)
23 = 8
c)
32 = 8
d)
83 = 2
2.
Rewrite 34 = 81 in logarithmic form.
a)
log34 = 81
b)
log813 = 4
c)
log381 = 4
d)
log481 = 3
3.
Rewrite logpt = m in exponential form.
a)
pt = m
b)
tm = p
c)
mt = p
d)
pm = t
4.
log525 = ?
a)
2
b)
5
c)
125
d)
10
5.
Solve for x.
3x = 27
3x = 27
a)
2
b)
4
c)
3
d)
5
6.
Solve for x.
5x = 1
5x = 1
a)
0
b)
-1
c)
2
d)
1
7.
Write in logarithmic form.
52 = 25
52 = 25
a)
log52 = 25
b)
log225 = 5
c)
log255 = 2
d)
log525 = 2
8.
Write log2 0.25 = -2 in exponential form
a)
-22 = 0.25
b)
-20.25 = 2
c)
2-2 = 0.25
d)
No correct answer
9.
Evaluate log5 20 to the third decimal place
a)
0.537
b)
2.996
c)
1.301
d)
1.861
10.
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
11.
Rewrite logpt = m in exponential form.
a)
pt = m
b)
tm = p
c)
mt = p
d)
pm = t
12.
eln(f)
a)
f
b)
e
c)
ef
d)
undefined
13.
Change the following into exponential form: log y x = r
a)
y x = r
b)
x y = r
c)
y r= x
d)
r y = x
14.
What is the domain and range of
f(x) = log 3 (x + 1)?
f(x) = log 3 (x + 1)?
a)
D: (− ∞, ∞) R: (−1, ∞)
b)
D: (− ∞, ∞) R: (1, ∞)
c)
D: (−1, ∞) R: (− ∞, ∞)
d)
D: (1, ∞) R: (− ∞, ∞)
15.
find the asymptote: y = log10 (x+3)
a)
x=-3
b)
x=3
c)
y=-3
d)
y=3
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