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Logarithms - 1 Video Lecture | General Aptitude for GATE - Mechanical Engineering
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FAQs on Logarithms - 1 Video Lecture - General Aptitude for GATE - Mechanical Engineering
| 1. What is a logarithm? |  |
Ans. A logarithm is the inverse operation of exponentiation. It is a mathematical function that gives the power to which a fixed number, called the base, must be raised to produce a given number.
| 2. How are logarithms used in mathematics? | |
Ans. Logarithms are used in various mathematical calculations, such as solving exponential equations, simplifying complex calculations, and representing data on a logarithmic scale.
| 3. What are the properties of logarithms? | |
Ans. Some properties of logarithms include the product rule (logarithm of a product is the sum of the logarithms), the quotient rule (logarithm of a quotient is the difference of the 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).
| 4. How do logarithms help in solving real-world problems? | |
Ans. Logarithms are used in various real-world applications, such as calculating earthquake magnitudes, measuring sound levels, analyzing population growth rates, and determining the pH levels of solutions.
| 5. Can logarithms be negative? | |
Ans. Yes, logarithms can be negative. Logarithms of numbers between 0 and 1 are negative, as the base must be raised to a negative power to produce the given number.
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