Math Domain A.1 : Topic 3

Describe logarithm of a number.

1 / 20

What does $\log_{10}(100)$ equal?

A) $1$

B) $10$

C) $2$

D) $100$

2 / 20

Which expression is equivalent to $\log_{10}(x)=3$?

A) $x=10^3$

B) $x=30$

C) $x=3^{10}$

D) $x=\frac{10}{3}$

3 / 20

The value of $\log_{10}(1)$ is:

A) Undefined

B) $-1$

C) $1$

D) $0$

4 / 20

Which statement correctly defines a logarithm?

A) Power of a number in multiplication

B) Exponent to which a base is raised to get a number

C) Square root of a number

D) Division of two numbers

5 / 20

If $\log_{10}(1000)=x$, then $x$ is:

A) $10$

B) $2$

C) $4$

D) $3$

6 / 20

Which of the following is NOT valid for logarithms?

A) $\log_{10}(1)=0$

B) $\log_{10}(100)=2$

C) $\log_{10}(0)=1$

D) $\log_{10}(10)=1$

7 / 20

If $\log_{10}(x)=0$, then $x$ is:

A) $100$

B) $1$

C) $0$

D) $10$

8 / 20

What is the base of common logarithm?

A) $2$

B) $e$

C) $10$

D) $5$

9 / 20

If $\log_{10}(10000)=x$, then $x$ equals:

A) $5$

B) $4$

C) $2$

D) $3$

10 / 20

Which number has logarithm equal to $1$?

A) $10$

B) $1$

C) $100$

D) $0$

11 / 20

Which is correct?

A) $\log_{10}(50)=50$

B) $\log_{10}(50)=0$

C) $\log_{10}(50)=5$

D) $\log_{10}(50)$ is between $1$ and $2$

12 / 20

If $x=\log_{10}(100)$, then $10^x$ equals:

A) $1000$

B) $10$

C) $100$

D) $1$

13 / 20

Which value is negative in logarithm?

A) $\log_{10}(5)$

B) $\log_{10}(10)$

C) $\log_{10}(2)$

D) $\log_{10}(0.5)$

14 / 20

Which is true?

A) Logarithm converts subtraction into division

B) Logarithm converts multiplication into addition

C) Logarithm has no relation with exponents

D) Logarithm converts addition into multiplication

15 / 20

If $\log_{10}(x)=2$, then $x$ is:

A) $10$

B) $100$

C) $200$

D) $20$

16 / 20

What is $\log_{10}(0.01)$?

A) $1$

B) $-1$

C) $2$

D) $-2$

17 / 20

Which number has logarithm $3$?

A) $10$

B) $100$

C) $1000$

D) $10000$

18 / 20

Which statement is correct about logarithms?

A) Can be positive or negative

B) Always zero

C) Always positive

D) Always negative

Reasoning: Since

$10^{-1}=0.1$

therefore

$x=0.1$

19 / 20

If $\log_{10}(x)=-1$, then $x$ is:

A) $0.1$

B) $100$

C) $10$

D) $1$

20 / 20

Logarithm is the inverse of:

A) Multiplication

B) Subtraction

C) Division

D) Exponentiation

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