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Logarithms – Fundamental Properties Video Lecture | Logarithms Simplified (Mathematics Trick): Important for K12 students - Quant
FAQs on Logarithms – Fundamental Properties Video Lecture - Logarithms Simplified (Mathematics Trick): Important for K12 students - Quant
| 1. What are the fundamental properties of logarithms? |  |
Ans. The fundamental properties of logarithms include the product rule, quotient rule, power rule, change of base rule, and the logarithm of one.
| 2. How does the product rule for logarithms work? | |
Ans. The product rule states that the logarithm of a product is equal to the sum of the logarithms of the individual factors. In mathematical terms, log base b (xy) = log base b (x) + log base b (y).
| 3. Can you explain the quotient rule for logarithms? | |
Ans. The quotient rule states that the logarithm of a quotient is equal to the difference of the logarithms of the numerator and denominator. In other words, log base b (x/y) = log base b (x) - log base b (y).
| 4. What is the power rule for logarithms? | |
Ans. The power rule states that the logarithm of a number raised to a power is equal to the product of the power and the logarithm of the number. Mathematically, log base b (x^n) = n * log base b (x).
| 5. How does the change of base rule work for logarithms? | |
Ans. The change of base rule allows us to convert a logarithm from one base to another by dividing the logarithm in the original base by the logarithm of the new base. The formula is: log base b (x) = log base c (x) / log base c (b), where b and c are different bases.
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