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Ratio and Proportion, Indices and 
Logarithm–  Chapter 1 
Paper 4: Quantitative Aptitude-Statistics 
Ms. Ritu Gupta B.A. (Hons.) Maths and MA (Maths) 
 
 
 
 
 
 
Page 2


Ratio and Proportion, Indices and 
Logarithm–  Chapter 1 
Paper 4: Quantitative Aptitude-Statistics 
Ms. Ritu Gupta B.A. (Hons.) Maths and MA (Maths) 
 
 
 
 
 
 
Introduction to Logarithm 
• Fundamental Knowledge  
• Its application 
2 
Page 3


Ratio and Proportion, Indices and 
Logarithm–  Chapter 1 
Paper 4: Quantitative Aptitude-Statistics 
Ms. Ritu Gupta B.A. (Hons.) Maths and MA (Maths) 
 
 
 
 
 
 
Introduction to Logarithm 
• Fundamental Knowledge  
• Its application 
2 
Definition of Logarithm  
3 
Page 4


Ratio and Proportion, Indices and 
Logarithm–  Chapter 1 
Paper 4: Quantitative Aptitude-Statistics 
Ms. Ritu Gupta B.A. (Hons.) Maths and MA (Maths) 
 
 
 
 
 
 
Introduction to Logarithm 
• Fundamental Knowledge  
• Its application 
2 
Definition of Logarithm  
3 
Example 
4 
Page 5


Ratio and Proportion, Indices and 
Logarithm–  Chapter 1 
Paper 4: Quantitative Aptitude-Statistics 
Ms. Ritu Gupta B.A. (Hons.) Maths and MA (Maths) 
 
 
 
 
 
 
Introduction to Logarithm 
• Fundamental Knowledge  
• Its application 
2 
Definition of Logarithm  
3 
Example 
4 
Properties of Logarithm  
5 
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FAQs on PPT - Logarithms - CA Foundation

1. What is a logarithm and how is it used in mathematics?
Ans. A logarithm is the inverse operation of exponentiation. It helps to solve problems involving exponential growth or decay, convert between exponential and logarithmic forms, and simplify complex mathematical expressions.
2. How do logarithms work in solving equations and inequalities?
Ans. Logarithms can be used to solve equations and inequalities involving exponential functions. By taking the logarithm of both sides of the equation, we can simplify the equation and solve for the unknown variable.
3. Can logarithms be used in real-life applications?
Ans. Yes, logarithms have various real-life applications. They are used in fields such as finance, engineering, computer science, physics, and biology to solve problems involving exponential growth, population dynamics, sound and light intensity, pH scale, and more.
4. What are the properties of logarithms?
Ans. Logarithms have several properties that make them useful in mathematical calculations. These properties include the product rule, quotient rule, power rule, change of base formula, and logarithm of 1.
5. How can logarithms be graphed and what are their key features?
Ans. Logarithmic functions can be graphed by plotting points and connecting them with a smooth curve. The key features of logarithmic graphs include an asymptote, domain and range restrictions, and the ability to transform the graph using translations, reflections, and stretches.
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