Math Domain A.1 : Topic 4

Differentiate between common and natural logarithm.

1 / 20

The base of a common logarithm is:

A) $2$

B) $1$

C) $e$

D) $10$

2 / 20

The base of a natural logarithm is:

A) $10$

B) $e$

C) $0$

D) $2$

3 / 20

Which notation represents natural logarithm?

A) $\log x$

B) $\log_2x$

C) $\log_{10}x$

D) $\ln x$

4 / 20

Which is the correct form of common logarithm?

A) $\ln x$

B) $\log x$

C) $\log_{10}x$

D) $\log_ex$

5 / 20

Which logarithms are usually available on scientific calculators?

A) Natural logarithm only

B) Both common and natural logarithms

C) Neither

D) Common logarithm only

6 / 20

The value of $\log_{10}(100)$ is:

A) $10$

B) $1$

C) $100$

D) $2$

7 / 20

Which statement is correct?

A) $\log$ uses base $2$

B) $\log$ uses base $e$

C) $\ln$ uses base $10$

D) $\ln$ uses base $e$

8 / 20

The value of $e$ is approximately:

A) $2.14$

B) $3.14$

C) $2.71$

D) $10$

9 / 20

Which logarithm is called Briggsian logarithm?

A) Common logarithm

B) Natural logarithm

C) Binary logarithm

D) Exponential logarithm

10 / 20

Which expression is correct?

A) $\log x=\log_ex$

B) $\ln x=\log_2x$

C) $\log_{10}x\ne\ln x$

D) $\log_{10}x=\ln x$

11 / 20

Which is true about $\ln x$?

A) It has no base

B) It has base $e$

C) It has base $2$

D) It has base $10$

12 / 20

Which of the following is a natural logarithm?

A) $\log_{10}(100)$

B) $\log(100)$

C) $\log_2(100)$

D) $\ln(100)$

13 / 20

Common logarithm is also called:

A) Binary logarithm

B) Base $e$ logarithm

C) Natural logarithm

D) Base $10$ logarithm

14 / 20

Which is larger?

A) Cannot compare

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

C) Both are equal

D) $\ln(10)$

15 / 20

Which logarithm is widely used in growth and decay models?

A) Binary logarithm

B) Natural logarithm

C) None

D) Common logarithm

16 / 20

Which statement is correct?

A) $\ln$ is always greater than $\log$

B) $\log$ is always greater than $\ln$

C) $\log$ and $\ln$ are identical

D) They differ by base

17 / 20

Which of the following equals $1$?

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

B) $\ln(e^2)$

C) $\ln(10)$

D) $\log_{10}(100)$

18 / 20

Which is true about natural logarithm?

A) Used only in finance

B) Used only in geometry

C) Used in exponential growth

D) Not used in science

19 / 20

Which is the correct relation?

A) $\ln x=\log_{10}x$

B) $\ln x=\log_ex$

C) $\log x=\log_2x$

D) $\log x=\ln(10)$

20 / 20

Which pair is correctly matched?

A) Both have same base

B) $\log\rightarrow$ base $10$, $\ln\rightarrow$ base $e$

C) $\log\rightarrow$ base $e$, $\ln\rightarrow$ base $10$

D) $\log\rightarrow$ base $2$, $\ln\rightarrow$ base $10$

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