Engineering Entrance Sample Papers

# Logarithm Questions for Competitive Exams ## 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
 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. 