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Mathematics for Engineers
book

Mathematics for Engineers

by Ritu Shrivastava, Ramakant Bhardwaj, Satyendra Narayan
June 2025
Intermediate to advanced
576 pages
11h 26m
English
Wiley-Scrivener
Content preview from Mathematics for Engineers

6Exponent and Logarithm

A diagrammatic representation of mathematics with this bubble chart! Explore the relationship between exponent, indices, and logarithm in a visually engaging way.

Objectives: This chapter

  • Explain concepts of Indices and exponents.
  • Insight on Indices & Exponents Through Solved Examples.
  • Understand Concepts of Logarithms.
  • Insight on Indices & Exponents Through Solved Examples.
  • Group Project work on Applications of Indices, Exponents, and logarithms

6.1 Introduction

HISTORY-The basic idea of indices originated in the 9th century when Persian Mathematician Musa explored the square of a number and later the cube in the 15th century with different notifications. The words “exponent” and “indices” were first used in literature in 1544 and 1696, respectively. Exponential notation reached maturity in the 17th century and began to be used in problems by mathematicians worldwide.

Exponents or Indices have many applications. The most popular applications are denoting population growth, the decay of chemicals in subsequent years, and many other fields. One of the most recent examples of exponents is predicting a pattern for the spread of the pandemic New Coronavirus (COVID-19), which demonstrates an exponential rise in the number of infected people.

Note: Indices are Also known as Exponents.

6.2 Indices

6.2.1 Definition: Indices—[Concept: Repeated Multiplication]

Indices are also mentioned as the power of the exponent of a variable or constant. Indices are the value in the power of a variable or constant, which denotes ...

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Publisher Resources

ISBN: 9781394214587