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Logarithms
Class 9 · Mathematics · 10 questions
Name: ____________________ Date: ____________
What is log to base 10 of 1000?
- A 10
- B 2
- C 4
- D 3
What is log to base 2 of 32?
- A 4
- B 6
- C 16
- D 5
log(a x b) is equal to:
- A log a / log b
- B log a - log b
- C log a x log b
- D log a + log b
log(a / b) is equal to:
- A log a / log b
- B log a x log b
- C log a + log b
- D log a - log b
What is the value of log 1, for any base?
- A 10
- B Undefined
- C 0
- D 1
Express 4³ = 64 in logarithmic form.
- A log 3 to base 4 = 64
- B log 4 to base 3 = 64
- C log 64 to base 4 = 3
- D log 64 to base 3 = 4
What is log to base 5 of 25?
- A 1/2
- B 2
- C 5
- D 25
log(a^n) equals:
- A log a + n
- B (log a)^n
- C n log a
- D log a / n
What is log to base 10 of 0.1?
- A 0
- B -1
- C -10
- D 1
If log x = 2 (base 10), then x is:
- A 20
- B 2
- C 100
- D 1000
Answer key
1. D, 2. D, 3. D, 4. D, 5. C, 6. C, 7. B, 8. C, 9. B, 10. C
10³ = 1000, so the logarithm is 3.
2⁵ = 32.
The product rule: the log of a product is the sum of the logs.
The quotient rule: the log of a quotient is the difference of the logs.
Any base raised to the power 0 gives 1.
a^x = N means log of N to base a is x. So log 64 to base 4 = 3.
5² = 25.
The power rule of logarithms.
10⁻¹ = 0.1.
10² = 100.