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WorksheetsInverses and Logarithms
Total questions: 35
Worksheet time: 1hrs 14mins
Name
Class
Date
1.
Find the inverse of f(x) = -4x - 12
a)
f-1(x) = 4x - 3
b)
f-1(x) = -1/4x - 3
c)
f-1(x) = 1/4x + 3
d)
f-1(x) = -4x - 3
2.
Find the inverse of f(x) = x2 - 5
a)
f-1(x) = √(x) + 5
b)
f-1(x) = ∛(x-5)
c)
f-1(x) =√(x+5)
d)
f-1(x) = x2 - 5
3.
Are the following inverses of each other?
a)
True
b)
False
4.
Find the inverse of f(x) = 3x +8
a)
f-1(x) = 3x - 8/3
b)
f-1(x) = 8/3x - 1/3
c)
f-1(x) = 1/3x - 8/3
d)
f-1(x) = 1/3x + 8/3
5.
a)
A
b)
B
c)
C
d)
D
6.
a)
A
b)
B
c)
C
d)
D
7.
Find the inverse
f(x)=³√(-x+2)
f(x)=³√(-x+2)
a)
x3+2
b)
3√x+1
c)
-x3+1
d)
3√-2
8.
Write in logarithmic form.
52 = 25
52 = 25
a)
log52 = 25
b)
log225 = 5
c)
log255 = 2
d)
log525 = 2
9.
Write in exponential form.
log232 = 5
log232 = 5
a)
2-5 = 32
b)
232 = 5
c)
25 = 32
d)
325 = 2
10.
Write in exponential form.
log2(1/8) = -3
log2(1/8) = -3
a)
2-3 = 1/8
b)
21/8 = -3
c)
-32 = 1/8
d)
-31/8 = 2
11.
Evaluate.
log381
log381
a)
4
b)
1/4
c)
-4
d)
-1/4
12.
Change to Exponential Form:
log636 = 2
log636 = 2
a)
26=36
b)
62=36
c)
362=6
d)
366=2
13.
log525 = ?
a)
2
b)
5
c)
25
d)
125
14.
Evaluate:
log416
log416
a)
2
b)
4
c)
1/2
d)
-2
15.
Evaluate.
log6(1/216)
log6(1/216)
a)
3
b)
1/3
c)
-1/3
d)
-3
16.
Expand
a)
6log8v-2log8u
b)
6log8u-2log8v
c)
3log8u-2log8v
d)
6log8u+2log8v
17.
Condense
a)
logxyz3
b)
log(xy/z3)
c)
logx+logy+logz3
d)
logx3y3z3
18.
Expand
a)
log8x+log8y+log8z
b)
5log8x+5log8y+5log8z
c)
log8xy+5log8z
d)
log8x+log8y+5log8z
19.
Condense
a)
log8(x6)/log8(y3)
b)
log8(x6/y3)
c)
log8(x/y3)
d)
log8(x6y3)
20.
Expand
a)
6log4u - 36log4v
b)
log4u - 6log4v
c)
6log4u + 36log4v
d)
6log4u / 36log4v
21.
Condense
a)
log8(a18/b3)
b)
log8(a18b3)
c)
log8(a/b3)
d)
15log8(a/b3)
22.
Condense
a)
4log3x-4log3y
b)
log3(x4/y4)
c)
log3(x4y4)
d)
log3(x4) - log3(y4)
23.
Condense
a)
15log8u + 3log8v
b)
15log8u - 3log8v
c)
log8(u15/v3)
d)
log8u15v3
24.
Expand
a)
5log5a - 6log5b
b)
5log5a - 30log5b
c)
5log5a + 30log5b
d)
30log5b - 5log5a
25.
log5(4x-7)=log5(x+5)
a)
3
b)
12
c)
4
d)
7
26.
Solve
a)
A
b)
B
c)
C
d)
D
27.
log(2x) - log(5) = log(30)
a)
6/5
b)
45/2
c)
75
d)
-3/8
28.
a)
-13
b)
197
c)
100.5
d)
40
29.
a)
A
b)
B
c)
C
d)
D
30.
a)
A
b)
B
c)
C
d)
D
31.
Solve:
a)
A
b)
B
c)
C
d)
D
32.
Solve:
a)
A
b)
B
c)
C
d)
D
33.
a)
A
b)
B
c)
C
d)
D
34.
a)
A
b)
B
c)
C
d)
D
35.
a)
A
b)
B
c)
C
d)
D
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