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Logarithms - 1 Video Lecture | General Aptitude for GATE - Mechanical Engineering

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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Oct 18, 2025 Last updated

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