9th Class Mathematics Chapter 2 Test02. Logarithms

Q1. Multiple choice questions (Attempt all · 10 × 1 = 10)

1. log 125 can be written as:
   1. log 5
   2. 2 log 5
   3. 3 log 5
   4. 5 log 3
2. 5 log 2 - 2 log 5 is
   1. $\frac{(\log 2)^5}{(\log 5)^2}$
   2. $\frac{\log 2^5}{\log 5^2}$
   3. $\frac{\log 2^2}{\log 5^5}$
   4. $\frac{5}{2}log\frac{2}{5}$
3. Logarithmic methods are especially useful when numbers are:
   1. Very small or very large
   2. Equal to zero only
   3. Negative only
   4. Whole numbers only
4. Scientific notation of 6.25 is:
   1. 6.25 × 10⁰
   2. 0.625 × 10¹
   3. 62.5 × 10⁻¹
   4. All represent same value, but standard form is A
5. $log_b g^h$ is
   1. $g log_b h$
   2. $log_b (gh)$
   3. $(log_b g) × h$
   4. $h log_b g$
6. Which logarithm is undefined in the real number system?
   1. log₂8
   2. log₅1
   3. log₃(−9)
   4. log₇49
7. If log₅25 = 2, then in exponential form:
   1. 2⁵ = 25
   2. 5² = 25
   3. 25² = 5
   4. 5² = 10
8. $\log_b M-\log_b N \text{ is}$
   1. $\frac{\log_b M}{\log_b N}$
   2. $\log_b\left(\frac{M}{N}\right)$
   3. $\log_N M$
   4. $\frac{\log_b N}{\log_b M}$
9. log(gh) equals:
   1. log g − log h
   2. log g + log h
   3. log g × log h
   4. log(g/h)
10. If 2⁵ = 32, then in logarithmic form:
    1. log₂32 = 5
    2. log₅32 = 2
    3. log₃₂2 = 5
    4. log₂5 = 32