# Logarithm MCQ Questions & Answers

Logarithm MCQs : This section focuses on the "Logarithm". These Multiple Choice Questions (MCQs) should be practiced to improve the Logarithm skills required for various interviews (campus interview, walk-in interview, company interview), placement, entrance exam and other competitive examinations.

Question 1

If a^x = b^y, then:

A. log a/b = x/y
B. log a/ log b= x/y
C. log a/ log b= y/x
D. None of these

Question 2

If log 2 = 0.30103, the number of digits in 2^64 is:

A. 18
B. 19
C. 20
D. 21

Question 3

If log 27 = 1.431, then the value of log 9 is:

A. 0.934
B. 0.945
C. 0.954
D. 0.958

Question 4

If logx (9/16) = -1/2 , then x is equal to:

A. -(3/4)
B. 3/4
C. 81/256
D. 256/81

Question 5

Which of the following statements is not correct?

A. log10 10 = 1
B. log (2 + 3) = log (2 x 3)
C. log10 1 = 0
D. log (1 + 2 + 3) = log 1 + log 2 + log 3

Question 6

If log a/b + log b/a = log (a + b), then:

A. a + b = 1
B. a - b = 1
C. a = b
D. a^2 - b^2 = 1

Question 7

The value of log2 16 is:

A. 1/8
B. 4
C. 8
D. 16

Question 8

If log10 2 = 0.3010, the value of log10 80 is:

A. 1.6020
B. 1.9030
C. 3.9030
D. None of these

Question 9

log root(8)/log 8 is equal to:

A. 1/ root(8)
B. 1/4
C. 1/2
D. 1/8

Question 10

The value of (1/log3 60 + 1/log4 60 + 1/log5 60) is:

A. 0
B. 1
C. 5
D. 60

Question 11

If log10 5 + log10 (5x + 1) = log10 (x + 5) + 1, then x is equal to:

A. 1
B. 3
C. 5
D. 10

Question 12

If log(a/b) + log(b/a) = log (a + b), then:

A. a + b = 1
B. a - b = 1
C. a = b
D. None of the above

Question 13

If log10 7 = a, then log10 (1/70) is equal to:

A. - (1 + a)
B. (1 + a)^(-1)
C. a/10
D. 1/10a

Question 14

If log10 2 = 0.3010, then log2 10 is equal to:

A. 699/301
B. 1000/301
C. 0.3010
D. 0.6990

Question 15

If log 2 = 0.3010 and log 3 = 0.4771, the value of log5 512 is:

A. 2.870
B. 2.967
C. 3.876
D. 3.912