Worksheetslogarithm
Total questions: 20
Worksheet time: 51mins
Name
Class
Date
1.
a)
A
b)
B
c)
C
d)
D
2.
a)
A
b)
B
c)
C
d)
D
3.
Expand
a)
A
b)
B
c)
C
d)
D
4.
The common logarithm has what base?
a)
10
b)
0
c)
e
d)
-e
5.
Expand the following logarithm:
log2 5x.
log2 5x.
a)
log2 5 - log2 x
b)
log2 5 + log2 x
c)
2log 5 + 2log x
d)
log5 2 + logx 2
6.
Expand the following logarithm:
log3 10z
log3 10z
a)
log3 10 - log3 z
b)
log3 10 + log3 z
c)
zlog3 10
d)
log3 z10
7.
Expand
a)
A
b)
B
c)
C
d)
D
8.
Rewrite 34 = 81 in logarithmic form.
a)
log34 = 81
b)
log813 = 4
c)
log381 = 4
d)
log481 = 3
9.
Logarithmic functions are the inverse of...
a)
Linear Functions
b)
Exponential Functions
c)
Quadratic Functions
d)
Polynomial Functions
10.
Write 104= 10000 in logarithmic form.
a)
log10 4 = 10000
b)
log10000 4 = 10
c)
log10 10000 = 4
d)
log4 10000 = 10
11.
Rewrite log28 = 3 in exponential form.
a)
28 = 3
b)
23 = 8
c)
32 = 8
d)
83 = 2
12.
Rewrite logpt = m in exponential form.
a)
pt = m
b)
tm = p
c)
mt = p
d)
pm = t
13.
log525 = ?
a)
2
b)
5
c)
125
d)
10
14.
Use the change of base formula and your calculator to approximate the log.
a)
A
b)
B
c)
C
d)
D
15.
Use the change of base formula and your calculator to approximate the log.
a)
A
b)
B
c)
C
d)
D
16.
Rewrite the equation in logarithmic form.
a)
A
b)
B
c)
C
d)
D
17.
Expand the logarithm.
a)
A
b)
B
c)
C
d)
D
18.
Write as one logarithm. Simplify, if possible.
log2800 - log2100
log2800 - log2100
a)
8
b)
3
c)
-3
d)
1
19.
Write as one logarithm. Simplify, if possible.
log5125 - log525
log5125 - log525
a)
1
b)
0
c)
5
d)
-1
20.
Write as one logarithm. Simplify, if possible.
log63 + log62
log63 + log62
a)
0
b)
log65
c)
log61
d)
1
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