9th class Mathematics Online test Unit 3 - Logarithms

Unit 3 – Logarithms

Quiz

 

1. If logₐ(b) = c, then which of the following is true?
   1.   a = b × c
   2.   b = aⁿ
   3.   aᶜ = b
   4.   bᶜ = a
2. What is log₁₀(1)?
   1.   0
   2.   1
   3.   10
   4.   Undefined
3. log₁₀(100) is equal to:
   1.   1
   2.   2
   3.   10
   4.   100
4. If logₐ(64) = 3, then the value of 'a' is:
   1.   2
   2.   4
   3.   8
   4.   None of these
5. logₑ is also called:
   1.   Natural logarithm
   2.   Common logarithm
   3.   Binary logarithm
   4.   None of these
6. If log₁₀(x) = 3, then x is:
   1.   10
   2.   100
   3.   1000
   4.   None of these
7. What is the value of log₁₀(10⁵)?
   1.   1
   2.   5
   3.   10
   4.   None of these
8. If logₐb = c and logₐc = d, then logₐ(b × c) =
   1.   c + d
   2.   c - d
   3.   c × d
   4.   c ÷ d
9. What is the logarithm of 1000 to base 10?
   1.   1
   2.   2
   3.   3
   4.   4
10. If logₐm = x and logₐn = y, then logₐ(m/n) =
    1.   x + y
    2.   x − y
    3.   x × y
    4.   x ÷ y