9th class Math, Chapter 2: Logarithms MCQs

1. The standard form of 5.2 × 10⁶ is:

1. (A) 52,000
2. (B) 520,000
3. (C) 5,200,000 ✓
4. (D) 52,000,000

2. Scientific notation of 0.00034 is:

1. (A) 3.4 × 10³
2. (B) 3.4 × 10⁻⁴ ✓
3. (C) 3.4 × 10⁴
4. (D) 3.4 × 10⁻³

3. The base of common logarithm is:

1. (A) 2
2. (B) 10 ✓
3. (C) 5
4. (D) e

4. log₂ 2³ = ______.

1. (A) 1
2. (B) 2
3. (C) 5
4. (D) 3 ✓

5. log 100 = ______.

1. (A) 2 ✓
2. (B) 3
3. (C) 10
4. (D) 1

6. If log 2 = 0.3010, then log 200 is:

1. (A) 1.3010
2. (B) 0.6010
3. (C) 2.3010 ✓
4. (D) 2.6010

7. log (0) = ______.

1. (A) positive
2. (B) negative
3. (C) zero
4. (D) undefined ✓

8. log 10,000 =

1. (A) 2
2. (B) 3
3. (C) 4 ✓
4. (D) 5

9. log 5 + log 3 = ______.

1. (A) log 0
2. (B) log 2
3. (C) log (5/3)
4. (D) log 15 ✓

10. 3⁴ = 81 in logarithmic form is:

1. (A) log₃ 4 = 81
2. (B) log₄ 3 = 81
3. (C) log₃ 81 = 4 ✓
4. (D) log₄ 81 = 3

11. A number in scientific notation is written as a × 10ⁿ where:

1. (A) 1 ≤ a < 10 and n is an integer ✓
2. (B) 0 < a < 1 and n is a natural number
3. (C) 10 ≤ a < 100 and n is an integer
4. (D) a is any real number and n = 1

12. If a number is less than 1, the exponent of 10 in its scientific notation is:

1. (A) negative ✓
2. (B) positive
3. (C) zero
4. (D) always 1

13. logₐ x = y is equivalent to:

1. (A) xʸ = a
2. (B) yˣ = a
3. (C) aˣ = y
4. (D) aʸ = x ✓

14. In logₐ x = y the base a must satisfy:

1. (A) a = 1
2. (B) a = 0
3. (C) a > 0 and a ≠ 1 ✓
4. (D) a < 0

15. The value of log 1 is:

1. (A) 10
2. (B) undefined
3. (C) 0 ✓
4. (D) 1

16. The value of logₐ a is:

1. (A) 1 ✓
2. (B) 0
3. (C) a
4. (D) 10

17. The decimal part of a logarithm is called:

1. (A) mantissa ✓
2. (B) characteristic
3. (C) antilogarithm
4. (D) base

18. The mantissa of a logarithm is always:

1. (A) an integer
2. (B) positive ✓
3. (C) negative
4. (D) zero

19. The characteristic of log 567 is:

1. (A) 0
2. (B) 2 ✓
3. (C) 3
4. (D) 1

20. The characteristic of log 0.0123 is:

1. (A) −3
2. (B) −2 (2̄) ✓
3. (C) 2
4. (D) −1