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WorksheetsLog Properties
Total questions: 15
Worksheet time: 15mins
Name
Class
Date
1.
a)
A
b)
B
c)
C
d)
D
2.
a)
A
b)
B
c)
C
d)
D
3.
When a logarithm has division inside of it, it expands using ________________.
a)
Addition
b)
Subtraction
c)
Multiplication
d)
Division
4.
Condense
a)
A
b)
B
c)
C
d)
D
5.
Condense
a)
A
b)
B
c)
C
d)
D
6.
Expand.
a)
A
b)
B
c)
C
d)
D
7.
log381 =
a)
2
b)
3
c)
4
d)
5
8.
Solve: log (x) + log (x) = log (25)
a)
-5, 5
b)
5
c)
-5
d)
25
9.
Rewrite 34 = 81 in logarithmic form.
a)
log34 = 81
b)
log813 = 4
c)
log381 = 4
d)
log481 = 3
10.
Write as a single log: log 12 + 2 log x
a)
log (12 + 2x)
b)
log (14x)
c)
log (12 * 2x)
d)
log (12x2)
11.
Write logb(xy) as two logs
a)
logbx+logby
b)
logbx-logby
c)
logbx*logby
d)
logbx/logby
12.
Write logb(x/y) as two logs
a)
logbx-logby
b)
logbx+logby
c)
logbx*logby
d)
logbx/logby
13.
Rewrite logb(xn)
a)
nlogbx
b)
(logbx)n
c)
xnlogbx
d)
logb(xn)
14.
Expand
a)
A
b)
B
c)
C
d)
D
15.
Use the change of base property logb(x) = loga(b)loga(x)
to write log2(16) with the common base
a)
log(8)
b)
log(2)log(16)
c)
log(16)log(2)
d)
log(16) + log(2)
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