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Logarithms – Fundamental Properties Video Lecture | Logarithms Simplified (Mathematics Trick): Important for K12 students - Quant

9 videos
Video Timeline
Video Timeline
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00:00 Introduction
00:22 First Fundamental Property - Log of 1 to any base will always equal 0.
01:29 Second Fundamental Property - The log of 'b' to the base 'b' will equal 1.
02:17 Third Fundamental Property - The log of 'b' raised to 'n' to the base 'b' will equal 'n'.
03:01 Logarithms Conditions
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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.
9 videos
Video Timeline
Video Timeline
arrow
00:00 Introduction
00:22 First Fundamental Property - Log of 1 to any base will always equal 0.
01:29 Second Fundamental Property - The log of 'b' to the base 'b' will equal 1.
02:17 Third Fundamental Property - The log of 'b' raised to 'n' to the base 'b' will equal 'n'.
03:01 Logarithms Conditions
More
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