Worksheets5.5 Logarithms Quiz Review
Total questions: 37
Worksheet time: 19mins
Name
Class
Date
1.
What is the exponential form of log₂8 = 3?
a)
2³ = 8
b)
8² = 3
c)
3² = 8
d)
2⁸ = 3
2.
Convert the exponential equation 10² = 100 to logarithmic form.
a)
log₁₀100 = 2
b)
log₁₀2 = 100
c)
log₂100 = 10
d)
log₁₀10 = 100
3.
If log₅x = 3, what is x?
a)
15
b)
125
c)
25
d)
5
4.
What is the value of log₁₀1?
a)
0
b)
1
c)
10
d)
Undefined
5.
Convert the logarithmic equation log₃81 = 4 to exponential form.
a)
3⁴ = 81
b)
81³ = 4
c)
4³ = 81
d)
3⁸ = 4
6.
If log₄16 = x, what is x?
a)
2
b)
4
c)
8
d)
16
7.
What is the logarithmic form of 7³ = 343?
a)
log₇343 = 3
b)
log₃343 = 7
c)
log₃7 = 343
d)
log₇3 = 343
8.
If log₂32 = y, what is y?
a)
5
b)
16
c)
32
d)
2
9.
What is the value of log₁₀100?
a)
2
b)
10
c)
1
d)
0
10.
Convert the exponential equation 5³ = 125 to logarithmic form.
a)
log₅125 = 3
b)
log₃125 = 5
c)
log₁₂₅5 = 3
d)
log₅3 = 125
11.
If log₉81 = z, what is z?
a)
2
b)
4
c)
9
d)
81
12.
What is the exponential form of log₁₀10,000 = 4?
a)
10⁴ = 10,000
b)
10,000⁴ = 10
c)
4¹⁰ = 10,000
d)
10⁴ = 1,000
13.
If log₆216 = a, what is a?
a)
3
b)
6
c)
36
d)
216
14.
Convert the logarithmic equation log₈64 = 2 to exponential form.
a)
8² = 64
b)
64⁸ = 2
c)
2⁸ = 64
d)
8⁶ = 2
15.
What is the value of log₁₀0.1?
a)
-1
b)
1
c)
0
d)
10
16.
If log₇49 = b, what is b?
a)
2
b)
7
c)
49
d)
1
17.
What is the logarithmic form of 4² = 16?
a)
log₄2 = 16
b)
log₂16 = 4
c)
log₁₆4 = 2
d)
log₄16 = 2
18.
If log₃27 = c, what is c?
a)
3
b)
9
c)
27
d)
1
19.
Convert the exponential equation 2⁵ = 32 to logarithmic form.
a)
log₃₂2 = 5
b)
log₅32 = 2
c)
log₂32 = 5
d)
log₂5 = 32
20.
What is the value of log₁₀0.01?
a)
-2
b)
1
c)
0
d)
10
21.
Which of the following is the correct exponential form of log₃27 = 3?
a)
27³ = 3
b)
3³ = 27
c)
3²⁷ = 3
d)
3 × 27 = 3
22.
What is the logarithmic form of 5² = 25?
a)
log₅25 = 2
b)
log₂25 = 5
c)
log₂5 = 25
d)
log₅2 = 25
23.
If log₂x = 5, what is the value of x?
a)
10
b)
25
c)
32
d)
64
24.
What is the value of log₁₀100?
a)
1
b)
2
c)
10
d)
100
25.
Which equation represents the change of base formula?
a)
logₐb = (logₓb) ÷ (logₓa)
b)
logₐb = (logₓa) × (logₓb)
c)
logₐb = (logₓb) - (logₓa)
d)
logₐb = (logₓa) ÷ (logₓb)
26.
What is the value of log₄64?
a)
2
b)
3
c)
4
d)
6
27.
If log₃x = 4, what is the exponential form?
a)
x = 3⁴
b)
3 = x⁴
c)
x⁴ = 3
d)
3⁴ = x
28.
What is the value of log₂8?
a)
2
b)
3
c)
4
d)
8
29.
If logₓ27 = 3, what is the value of x?
a)
3
b)
9
c)
27
d)
81
30.
What is the exponential form of log₅125 = 3?
a)
5³ = 125
b)
125³ = 5
c)
3⁵ = 125
d)
5¹²⁵ = 3
31.
Which of the following is always true?
a)
logₐa = 0
b)
logₐ1 = 0
c)
logₐa = 1
d)
logₐ0 = 1
32.
What is the value of log₁₀0.01?
a)
-3
b)
-2
c)
-1
d)
0.01
33.
What is the value of log₃81?
a)
3
b)
4
c)
9
d)
27
34.
What is the logarithmic form of e² = x?
a)
log x = 2
b)
ln x = 2
c)
log₂x = e
d)
e = ln x
35.
What is the value of log₄16?
a)
2
b)
4
c)
8
d)
16
36.
If log₃x = 2 and log₃y = 4, what is log₃(x/y)?
a)
-2
b)
-1
c)
1
d)
2
37.
What is the exponential form of logₐx = y?
a)
x = aʸ
b)
a = xʸ
c)
y = aˣ
d)
x = yᵃ
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