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Page 1 Introduction to Logarithm • Fundamental Knowledge • Its application 2 Page 2 Introduction to Logarithm • Fundamental Knowledge • Its application 2 Definition of Logarithm 3 Page 3 Introduction to Logarithm • Fundamental Knowledge • Its application 2 Definition of Logarithm 3 Example 4 Page 4 Introduction to Logarithm • Fundamental Knowledge • Its application 2 Definition of Logarithm 3 Example 4 Properties of Logarithm 5 Page 5 Introduction to Logarithm • Fundamental Knowledge • Its application 2 Definition of Logarithm 3 Example 4 Properties of Logarithm 5 Things to Remember 6Read More
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FAQs on PPT - Logarithms - CSAT Preparation - UPSC
| 1. What are logarithms and how do they work? |  |
Ans. Logarithms are mathematical functions that represent the relationship between exponential growth and decay. They help in solving complex exponential equations by converting them into simpler forms. Logarithms work by determining the exponent to which a base number needs to be raised to obtain a given value.
| 2. Can you explain the properties of logarithms? | |
Ans. Yes, logarithms have several properties that help in simplifying calculations. Some important properties include the product rule (logarithm of a product is the sum of individual logarithms), the quotient rule (logarithm of a quotient is the difference of individual logarithms), and the power rule (logarithm of a number raised to a power is the product of the power and the logarithm of the number).
| 3. How are logarithms used in financial calculations? | |
Ans. Logarithms find various applications in finance, particularly in calculating compound interest, evaluating investment returns, and analyzing stock market data. By using logarithms, financial analysts can simplify complex calculations involving exponential growth rates, present value, and future value of money.
| 4. Are there any real-world examples where logarithms are used? | |
Ans. Yes, logarithms are extensively used in science and engineering fields. They have applications in measuring sound intensity (decibels), earthquake magnitudes (Richter scale), pH levels (acidic or alkaline nature of substances), and population growth rates. Logarithms help in compressing large numerical ranges into a more manageable scale.
| 5. How do logarithms relate to exponential equations? | |
Ans. Logarithms and exponential equations are closely related. Logarithms provide an alternative way to express exponential equations and solve for unknown variables. By taking logarithms of both sides of an exponential equation, one can simplify the equation and isolate the variable of interest. This relationship between logarithms and exponential equations is fundamental in various branches of mathematics and science.
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