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WorksheetsBasics of Logarithms
Total questions: 16
Worksheet time: 32mins
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.
Rewrite 34 = 81 in logarithmic form.
a)
log34 = 81
b)
log813 = 4
c)
log381 = 4
d)
log481 = 3
4.
Rewrite logvn = a in exponential form.
a)
va = n
b)
na = v
c)
vn = a
d)
an = v
5.
log525 = ?
a)
2
b)
5
c)
125
6.
Rewrite as a log: 54=625
a)
log45=625
b)
log5625=4
c)
4=log6255
d)
5=log4625
7.
Rewrite in exponential form:
2=log9x
2=log9x
a)
9x=2
b)
2x=9
c)
29=x
d)
92=x
8.
Evaluate:
log416
log416
a)
2
b)
4
c)
1/2
d)
-2
9.
Rewrite in exponential form:
5=logb32
5=logb32
a)
b5=32
b)
b32=5
c)
5b=32
d)
32b=5
10.
Change to Exponential Form:
log636 = 2
log636 = 2
a)
26=36
b)
62=36
c)
362=6
d)
366=2
11.
Change to Exponential Form:
log3 81 = 4
log3 81 = 4
a)
813 = 4
b)
814 = 3
c)
34 = 81
d)
43 =81
12.
Change to Logarithmic Form:
122 = 144
122 = 144
a)
log 2 144 = 12
b)
log 12 144 = 2
c)
log 12 2 = 144
d)
log 2 12 = 144
13.
Change to Logarithmic Form:
53 = 125
53 = 125
a)
log 5 125 = 3
b)
log 3 125 = 5
c)
log 5 3 =125
d)
log125 3 = 5
14.
Solve for x.
3x = 27
3x = 27
a)
2
b)
4
c)
3
d)
5
15.
Solve for x.
2x = 16
2x = 16
a)
5
b)
2
c)
3
d)
4
16.
Solve for x.
5x = 1
5x = 1
a)
0
b)
-1
c)
2
d)
1
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