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Logarithms – Rules Video Lecture | Logarithms Simplified (Mathematics Trick): Important for K12 students - Quant
FAQs on Logarithms – Rules Video Lecture - Logarithms Simplified (Mathematics Trick): Important for K12 students - Quant
| 1. What are the basic rules of logarithms? |  |
Ans. The basic rules of logarithms include the product rule, quotient rule, power rule, change of base rule, and the logarithm of 1 rule. These rules help simplify logarithmic expressions and solve logarithmic equations.
| 2. How does the product rule of logarithms work? | |
Ans. The product rule of logarithms states that the logarithm of a product is equal to the sum of the logarithms of the individual factors. In other words, if we have log base b of a multiplied by c, it can be written as the sum of log base b of a plus log base b of c: logb(ac) = logb(a) + logb(c).
| 3. Can you explain the quotient rule of logarithms? | |
Ans. The quotient rule of logarithms states that the logarithm of a quotient is equal to the difference of the logarithms of the numerator and denominator. In other words, if we have log base b of a divided by c, it can be written as the difference of log base b of a minus log base b of c: logb(a/c) = logb(a) - logb(c).
| 4. How does the power rule of logarithms work? | |
Ans. The power rule of logarithms states that the logarithm of a number raised to a power is equal to the product of that power and the logarithm of the number. In other words, if we have log base b of a raised to the power of n, it can be written as n times log base b of a: logb(a^n) = n * logb(a).
| 5. What is the change of base rule of logarithms? | |
Ans. The change of base rule of logarithms allows us to evaluate logarithms with any base using logarithms with a different base. It states that the logarithm of a number with base a can be expressed as the logarithm of the same number with base b divided by the logarithm of a with base b. In other words, if we have log base a of x, it can be written as log base b of x divided by log base b of a: loga(x) = logb(x) / logb(a).
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