How Well Do You Know Exponentials & Logarithms?

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Questions: 10 | Attempts: 156 | Updated: Mar 19, 2023

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How Well Do You Know Exponentials & Logarithms? - Quiz

How well do you know exponentials & logarithms? In mathematics, the logarithm is the inverse operation to exponentiation, just as division is the inverse of multiplication and vice versa.

Questions and Answers

1.

Logarithms were introduced by ...
- A.
  
  John Napier
- B.
  
  Albert Einstein
- C.
  
  Bill Nye
- D.
  
  Isaac Newton
Correct Answer
A. John Napier

Explanation
Logarithms were introduced by John Napier.

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2.

Logarithms were introduced by John Napier in the early what century?
- A.
  
  15th century
- B.
  
  14th century
- C.
  
  17th century
- D.
  
  18th century
Correct Answer
C. 17th century

Explanation
Logarithms were introduced by John Napier in the 17th century. This mathematical concept revolutionized calculations by simplifying complex multiplication and division problems into addition and subtraction. Napier's work laid the foundation for the development of logarithmic tables and paved the way for advancements in fields such as astronomy, physics, and engineering.

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3.

The present-day notion of logarithms comes from .....
- A.
  
  John Napier
- B.
  
  Isaac Newton
- C.
  
  Leonhard Euler
- D.
  
  Albert Einstein
Correct Answer
C. Leonhard Euler

Explanation
The present-day notion of logarithms comes from the work of Leonhard Euler. Euler made significant contributions to the development of logarithms, including expanding on the concept of natural logarithms. He introduced the notation we still use today, such as using "e" to represent the base of natural logarithms. Euler's work laid the foundation for the modern understanding and applications of logarithms in various fields of mathematics and science.

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4.

The present-day notion of logarithms comes from Leonhard Euler, who connected them to the exponential function in the .....
- A.
  
  14th century
- B.
  
  18th century
- C.
  
  16th century
- D.
  
  12th century
Correct Answer
B. 18th century

Explanation
The present-day notion of logarithms comes from Leonhard Euler, who connected them to the exponential function. Euler was an 18th-century mathematician who made significant contributions to various branches of mathematics, including calculus and number theory. He introduced the concept of natural logarithms and established many of the fundamental properties of logarithmic functions that are still used today. Therefore, the correct answer is the 18th century.

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5.

The method of logarithms was publicly propounded by ...
- A.
  
  John Napier
- B.
  
  Bill Nye
- C.
  
  Albert Einstein
- D.
  
  Isaac Newton
Correct Answer
A. John Napier

Explanation
The method of logarithms was publicly propounded by John Napier. He was a Scottish mathematician and physicist who introduced logarithms as a mathematical tool in the early 17th century. His invention of logarithms greatly simplified complex calculations and revolutionized the field of mathematics. Napier's logarithms were widely used by scientists, engineers, and mathematicians for centuries, making him a significant figure in the history of mathematics.

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6.

The method of logarithms was publicly propounded by John Napier in ....
- A.
  
  1607
- B.
  
  1904
- C.
  
  1614
- D.
  
  1998
Correct Answer
C. 1614

Explanation
In 1614, John Napier publicly introduced the method of logarithms. This method was a significant mathematical development that revolutionized calculations and made complex mathematical operations simpler. Napier's invention of logarithms paved the way for advancements in various fields, including science, engineering, and finance. It allowed for more efficient and accurate calculations, making it an essential tool in many disciplines.

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7.

Prior to Napier's invention, there had been other techniques of similar scopes, such as the prosthaphaeresis or the use of tables of progressions, extensively developed by ....
- A.
  
  Isaac Newton
- B.
  
  Albert Einstein
- C.
  
  Jost Būrgi
- D.
  
  John Napier
Correct Answer
C. Jost Būrgi

Explanation
Jost Būrgi is the correct answer because the question states that there were other techniques similar to Napier's invention prior to his time. Jost Būrgi was a Swiss mathematician and astronomer who developed the technique of prosthaphaeresis, which was one of the techniques mentioned in the question. Therefore, Būrgi's work aligns with the information provided in the question.

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8.

Prior to Napier's invention, there had been other techniques of similar scopes, such as the prosthaphaeresis or the use of tables of progressions, extensively developed by Jost Bürgi around .....
- A.
  
  1500
- B.
  
  1600
- C.
  
  1400
- D.
  
  1300
Correct Answer
B. 1600

Explanation
Prior to Napier's invention, there had been other techniques of similar scopes, such as the prosthaphaeresis or the use of tables of progressions, extensively developed by Jost Bürgi around 1600. This suggests that the correct answer is 1600 because it aligns with the information provided in the explanation.

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9.

Logarithm is studied in which course?
- A.
  
  Music
- B.
  
  Maths
- C.
  
  Literature
- D.
  
  Language
Correct Answer
B. Maths

Explanation
Logarithm is studied in the field of mathematics. It is a mathematical concept that deals with the relationship between exponents and logarithms. Logarithms are used to simplify complex calculations involving large numbers or exponential growth. They are commonly used in various branches of mathematics such as algebra, calculus, and number theory. Therefore, the correct answer is Maths.

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10.

Mathematics is usually taught at
- A.
  
  School
- B.
  
  Church
- C.
  
  Mosque
- D.
  
  Museum
Correct Answer
A. School

Explanation
Mathematics is usually taught at school because it is a fundamental subject that provides students with essential skills in problem-solving, logical reasoning, and critical thinking. Schools have dedicated math teachers and curriculum designed to teach various mathematical concepts and techniques. Moreover, schools provide a structured learning environment with resources such as textbooks, classrooms, and educational tools that facilitate the teaching and learning of mathematics. Church, mosque, and museum are not typically associated with mathematics education, making school the most appropriate and common place for its instruction.

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