Product and Quotient Rule of Logarithms
Flashcard
•
Mathematics
•
9th - 12th Grade
•
Practice Problem
•
Hard
Wayground Content
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15 questions
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1.
FLASHCARD QUESTION
Front
What is the Product Rule of Logarithms?
Back
The Product Rule states that the logarithm of a product is equal to the sum of the logarithms of the factors. Mathematically, log_b(MN) = log_b(M) + log_b(N).
2.
FLASHCARD QUESTION
Front
What is the Quotient Rule of Logarithms?
Back
The Quotient Rule states that the logarithm of a quotient is equal to the difference of the logarithms. Mathematically, log_b(M/N) = log_b(M) - log_b(N).
3.
FLASHCARD QUESTION
Front
If log_2(8) = x, what is the value of x?
Back
x = 3, because 2^3 = 8.
4.
FLASHCARD QUESTION
Front
Using the Product Rule, simplify log_3(9) + log_3(4).
Back
log_3(9 * 4) = log_3(36).
5.
FLASHCARD QUESTION
Front
Using the Quotient Rule, simplify log_5(25) - log_5(5).
Back
log_5(25/5) = log_5(5) = 1.
6.
FLASHCARD QUESTION
Front
What is the base of a logarithm?
Back
The base of a logarithm is the number that is raised to a power to obtain a given number. In log_b(a), b is the base.
7.
FLASHCARD QUESTION
Front
How do you express log_b(M^n) using logarithmic properties?
Back
log_b(M^n) = n * log_b(M) (Power Rule).
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