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Properties of Logarithms Video Lecture | Crash Course for CAT

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FAQs on Properties of Logarithms Video Lecture - Crash Course for CAT

1. What are the properties of logarithms?
Ans. The properties of logarithms include the product property, quotient property, power property, change of base formula, and the logarithm of 1 property.
2. How do you use the product property of logarithms?
Ans. The product property states that the logarithm of a product is equal to the sum of the logarithms of the individual numbers being multiplied. This property can be used to simplify expressions involving multiplication inside a logarithm.
3. What is the quotient property of logarithms?
Ans. The quotient property states that the logarithm of a quotient is equal to the difference of the logarithms of the numerator and denominator. This property can be used to simplify expressions involving division inside a logarithm.
4. How can the power property of logarithms be applied?
Ans. The power property states that the logarithm of a number raised to a power is equal to the exponent times the logarithm of the base. This property can be used to simplify expressions involving exponents inside a logarithm.
5. What is the change of base formula for logarithms?
Ans. The change of base formula allows logarithms to be rewritten in terms of a different base. It states that the logarithm of a number in a certain base can be expressed as the logarithm of the number in a different base divided by the logarithm of the base itself.
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