Mantissa of a logarithm is always:

D. Either positive or negative decimal

Mathematics · Algebra · page 1 of 2

Logarithms MCQs with Answers

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Logarithms MCQs (1–10)

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Past paper MCQs in this chapter · See all past papers

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1.
Past Paper MCQ
Evaluate: $\frac{1}{\log_3 60} + \frac{1}{\log_4 60} + \frac{1}{\log_5 60} = ?$
Correct Answer: B. $1$
One-liner
The value of $\frac{1}{\log_3 60} + \frac{1}{\log_4 60} + \frac{1}{\log_5 60}$ is $1$.
2.
The value of $\log_{10}(1000)$ is:
Correct Answer: B. $3$
One-liner
The value of $\log_{10}(1000)$ is $3$ because $10^3 = 1000$.
3.
What is the mantissa in the context of logarithms?
Correct Answer: A. Decimal part of a logarithm
One-liner
The mantissa is the decimal part of a logarithm.
4.
The domain of the function $f(x) = \log x$ is _?
Correct Answer: A. $(0, \infty)$
One-liner
The domain of $f(x) = \log x$ is $(0, \infty)$ because the logarithm is defined only for positive real numbers.
5.
What is the value of $\log_3 81$?
Correct Answer: B. $4$
One-liner
The value of $\log_3 81$ is $4$, because $3^4 = 81$.
6.
The logarithmic form of $x = a^y$ is _.
Correct Answer: D. $\log_a x = y$
One-liner
The logarithmic form of $x = a^y$ is $\log_a x = y$.
7.
What is the value of $\log 10$?
Correct Answer: B. $1$
One-liner
The value of $\log 10$ is $1$ because $\log_{10} 10 = 1$.
8.
If $\log(i) + \log(j) = \log(100)$, then the value of $i \times j$ is:
Correct Answer: C. $100$
One-liner
Using the product rule of logarithms, $\log(i) + \log(j) = \log(i \times j) = \log(100)$, so $i \times j =$ $100$.
9.
Mantissa of a logarithm is always:
Correct Answer: A. Positive decimal
One-liner
The mantissa of a logarithm is always a positive decimal (i.e., a non-negative fraction less than 1).
10.
If a sound note has intensity $I$ equal to the faintest audible sound $I_0$, then what will be its sound level?
Correct Answer: D. $0$ dB
One-liner
When $I = I_0$, the sound level is $0$ dB because $\log(1) = 0$.

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Logarithms MCQs with Answers

Logarithms MCQs (1–10)

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