Engineering Entrance Sample Papers

Logarithm Questions for Competitive Exams

maths log questions
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Laws of Logarithms questions

Question 1
If ax = b, by = c, cz = a, then value of xyz is

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A
3
B
1
C
2
D
0
Question 2
If log10 2 = 0.30103, log10 3 = 0.47712, the number of digits in 312 x 28 is
A
8
B
7
C
9
D
10
Question 3
log4 18 is
A
A prime number
B
A rational number
C
None of these
D
An irrational number
Question 4
The number of  real values of the parameter k for which (log16 x)2 – log16 x + log16 k = 0 with real coefficients will have exactly one solution is
A
None of these
B
4
C
2
D
1
Question 5
If x = logb a, y = logc b, z = loga c, then xyz is

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A
0
B
None of these
C
3
D
1
Question 6
If a = log24 12, b = log26 24 and c = log48 36 then 1+abc is equal to
A
2bc
B
0
C
2ab
D
2ac
Question 7
If a, b, c are distinct positive numbers, each different from 1,  such that [logb a logc a – loga a] + [loga b logcb – logb b] + [loga c logb c – logc c] = 0, then abc =
A
None of these
B
3
C
1
D
2
Question 8
log ab – log | b | =
A
log a
B
log | a |
C
None of these
D
–log a
Question 9
If log10 3 = 0.477, the number of digits in 340 is
A
19
B
21
C
18
D
20
Question 10
If 3x – 3x – 1 = 6, then xx is equal to
A
2
B
None of these
C
4
D
9
Question 11
The number log2 7 is
A
An irrational number
B
A prime number
C
An integer
D
A rational number
Question 12
If x = log5 (1000) and y = log7 (2058) then
A
x > y
B
x = y
C
x < y
D
None of these
There are 12 questions to complete.
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Vishal Arora

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