Worksheets[Algebra 2] Unit 4A Review: Logarithms and Exponential Eq.
Total questions: 35
Worksheet time: 5hrs 0mins
Name
Class
Date
1.
What is the base of the logarithm:
log2(16) = 4 ?
log2(16) = 4 ?
a)
2
b)
10
c)
16
d)
4
2.
What is the base of the logarithm:
log(100) = 2 ?
log(100) = 2 ?
a)
2
b)
10
c)
e
d)
50
3.
What is the base of the logarithm:
ln(8) = 2.08 ?
ln(8) = 2.08 ?
a)
e
b)
10
c)
2.08
d)
8
4.
Evaluate the Logarithm: log3(1/81)
a)
27
b)
-4
c)
4
d)
-27
5.
Evaluate the Logarithm: log5125
a)
3
b)
25
c)
-25
d)
-3
6.
Evaluate the Logarithm: log4(1/256)
a)
4
b)
-4
c)
64
d)
-64
7.
Re-Write the Exponential Equation into Logarithmic Form
5x = 625
5x = 625
a)
x = log5625
b)
log5x = 625
c)
5 = logx625
d)
log5x = 625
8.
Re-Write the Exponential Equation into Logarithmic Form
ek = 7.39
ek = 7.39
a)
ln (7.39) = k
b)
ln (7.39) = e
c)
log (7.39) = k
d)
log (e) = 7.39
9.
Re-Write the Exponential Equation into Logarithmic Form
3-5 = 1/243
3-5 = 1/243
a)
log3(1/243) = -5
b)
log3(1/243) = 5
c)
log3(243) = -5
d)
log3(-5) = 243
10.
Re-Write the Exponential Equation into Logarithmic Form
yt = k
yt = k
a)
logyk = t
b)
logky = t
c)
k = logyt
d)
y = logkt
11.
Re-Write the Logarithm Equation into Exponential Form
ln (5) = 1.6
ln (5) = 1.6
a)
e5 = 1.6
b)
e1.6 = 5
c)
1.65 = e
d)
5e = 1.6
12.
Re-Write the Logarithm Equation into Exponential Form
log (c) = 5
log (c) = 5
a)
c = 105
b)
c = 510
c)
5c = 10
d)
c5 = 10
13.
Re-Write the Logarithm Equation into Exponential Form
log3243 = 5
log3243 = 5
a)
243 = 35
b)
243 = 53
c)
3 = 2435
d)
243 = 53
14.
Re-Write the Logarithm Equation into Exponential Form
logx256 = 4
logx256 = 4
a)
256 = x4
b)
4x = 256
c)
4 = x256
d)
256x = 4
15.
a)
A
b)
B
c)
C
d)
D
16.
a)
A
b)
B
c)
C
d)
D
17.
a)
5log6(a) + 6log6(c) − 30log6(b)
b)
log6(a) + 6log6(c) − 5log6(b)
c)
6log6(a) − 6log6(c) − 30log6(b)
d)
6log6(a) + 6log6(c) − 30log6(b)
18.
a)
log(x) + log(z) + 4log(y)
b)
3log(x) − log(z) − 4log(y)
c)
3log(x) + log(z) + 4log(y)
d)
log(x) − 4log(z) − 3log(y)
19.
a)
60 log(ab)
b)
6log(a) + log(b)
c)
log(a) - 30 log(b)
d)
6log(a) + 30 log(b)
20.
a)
log (xy3)
b)
log (x6 − y3)
c)
log (x6/y3)
d)
log (x6 + y3)
21.
a)
log3(a36 − b6)
b)
log3(a36 + b6)
c)
log(a36b6)
d)
log3(a36/b6)
22.
a)
log8(a2/cb3)
b)
log8(ca2/b3)
c)
log8(a2cb3)
d)
log(a2 − c − b3)
23.
a)
log5(x2z2y10)
b)
log5(z2y2x10)
c)
log(zy2x10)
d)
log5(z2 + y2 + x10)
24.
Solve the Exponential Equation
a)
1.82
b)
3.17
c)
3.05
d)
1.63
25.
Solve the Exponential Equation
a)
-0.84
b)
-1.49
c)
-1.40
d)
-2.55
26.
Solve the Exponential Equation
a)
-4.09
b)
-4.07
c)
-3.22
d)
-5.72
27.
Solve the Exponential Equation
a)
0.14
b)
0.35
c)
0.25
d)
0.19
28.
Solve the Exponential Equation
a)
-1.12
b)
-1.16
c)
-0.64
d)
-2.10
29.
Solve the Logarithm Equation
a)
-6.16
b)
-5.11
c)
8.03
d)
-3.51
30.
Solve the Logarithm Equation
a)
6
b)
-3.99
c)
9.01
d)
-5.33
31.
Solve the Logarithm Equation
a)
-1.44
b)
12
c)
-8
d)
-4
32.
Solve the Logarithm Equation
a)
-5
b)
333.33
c)
11
d)
107
33.
a)
- 8.75
b)
4.06
c)
19.2
d)
- 3.34
34.
a)
- 0.75
b)
42.4
c)
4.23
d)
19.84
35.
a)
9.08
b)
3.78
c)
1.12
d)
19.84
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