WorksheetsUnit 10: Logarithms Test
Total questions: 15
Worksheet time: 4hrs 45mins
Name
Class
Date
1.
Rewrite in exponential form:
log3(9)=2.
a)
39=2
b)
32=9
c)
x2=9
d)
3x=2
2.
What is x12=9 in logarithmic form?
a)
log912=x
b)
log129=x
c)
logx9=12
d)
logx12=9
3.
Rewrite in logarithmic form:
62 = 36
a)
log6 2 = 36
b)
log6 36 = 2
c)
ln 36 = 2
d)
636 = 2
4.
Evaluate:
log525 = ?
a)
2
b)
5
c)
125
5.
Evaluate.
3 log24
3 log24
a)
3
b)
6
c)
2
d)
4
6.
Evaluate
log41
a)
1
b)
0
c)
4
d)
undefined
7.
Expand
a)
A
b)
B
c)
C
d)
D
8.
Expand
a)
log8 x + log8 y + log8 z
b)
5log8 x + 5log8 y + 5log8 z
c)
log8 xy + 5log8 z
d)
log8 x + log8 y + 5log8 z
9.
Condense into a single logarithm.
a)
A
b)
B
c)
C
d)
D
10.
Select all the transformations that apply.
y = log 6 (x - 1) - 5
a)
Horizontal shift left 1
b)
Horizontal shift right 1
c)
Vertical shift up 5
d)
Vertical shift down 5
11.
Select all the transformations that apply.
y = -2 log 1/2 x
a)
Vertical stretch by 2
b)
Vertical shrink by 1/2
c)
Reflection across the y-axis
d)
Reflection across the x-axis
12.
Solve: 3x=18
a)
x = 6
b)
x = 2.5
c)
x = 2.63
d)
2.47
13.
Solve: log3x=5
a)
x = 15
b)
x = 243
c)
x = 81
d)
x = 1235
14.
Solve for x.
log52+log5x=log520
x = (a)
15.
log4(3x-1)=log4(2x+3)
a)
4
b)
3
c)
1
d)
8
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