Logarithms MCQs Quiz Multiple Choice Questions & Answers

1. If a^x = n, then

1. a = log_x n
2. x = log_n a
3. x = log_a n
4. a = log_n x

2. The relation of y = log_z x implies

1. x^y = z
2. z^y = x
3. x^z = y
4. y^z = x

3. 30600 in scientific notation is

1. 3.06 x 10⁴
2. 3.006 10⁴
3. 30.6 x 10⁴
4. 306 x 10⁴

4. 6.35 x 10⁴ in ordinary notation is

1. 6350000
2. 635000
3. 6350
4. 63500

5. A number written in the form a x 10ⁿ, where 1 <= a < 10 and n is an integer is called

1. Scientific notation
2. Ordinary notation
3. Logarithm notation
4. None

6. Common logarithm is also known as..........logarithm.

1. natural
2. simple
3. scientific
4. decadic

7. For common logarithm, the base is

1. 2
2. 10
3. e
4. 1

8. For natural logarithm, the base is

1. 10
2. e
3. 2
4. 1

9. If log₂^x = 5 then x is:

1. 25
2. 32
3. 10
4. 2^5x

10. If x = log y, then y is called the.....................of x.

1. Antilogarithm
2. Logarithm
3. Characteristic
4. None

11. John Napier prepared the logarithms tables to the base

1. 1
2. 10
3. e

12. log e = ............ where e is equivalent to 2.718

1. 0.4343
2. infinity
3. 1

13. log mⁿ can be written as

1. (log m)ⁿ
2. m log n
3. n log m
4. log (m n)

14. log₂³ in common logarithm is written as

1. log 3 / log 2
2. log 2 / log 3
3. log 3 / 2
4. log 2³

15. log_am + log_an is same as:

1. log_a(m + n)
2. log_a(m x n)
3. log_am x log_an
4. log_a(m/n)

16. log_ba × log_cb can be written as

1. log_ca
2. log_ac
3. log_ab
4. log_bc

17. log_e 10 is

1. 2.3026
2. 0.4343
3. e¹⁰
4. 10

18. log_yx will be equal to

1. log_zx / log_yz
2. log_xz / log_yz
3. log_zx / log_zy
4. log_zy / log_zx

19. logp – logq is same as:

1. log(q/p)
2. log(p-q)
3. logp/logq
4. log(p/q)

20. The decimal part of the common logarithm of a number is called the

1. Characteristic
2. Mantissa
3. Logarithm
4. None

21. The integral part of the common logarithm of a number is called the

1. Characteristic
2. Mantissa
3. Logarithm
4. None

22. The logarithm of any number to itself as base is

1. 1
2. -1
3. 10

23. The logarithm of unity to any base is

1. 1
2. 10
3. e

24. The value of log(p/q) is

1. log p - log q
2. log p / log q
3. log p + log q
4. log q - log p