Properties of Logarithms
Flashcard
•
Mathematics
•
10th - 12th Grade
•
Practice Problem
•
Easy
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15 questions
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1.
FLASHCARD QUESTION
Front
What is the definition of a logarithm?
Back
A logarithm is the exponent to which a base must be raised to produce a given number.
2.
FLASHCARD QUESTION
Front
What is the change of base formula for logarithms?
Back
log_b(a) = log_k(a) / log_k(b) for any base k.
3.
FLASHCARD QUESTION
Front
What is the product property of logarithms?
Back
log_b(MN) = log_b(M) + log_b(N) for any positive numbers M and N.
4.
FLASHCARD QUESTION
Front
What is the quotient property of logarithms?
Back
log_b(M/N) = log_b(M) - log_b(N) for any positive numbers M and N.
5.
FLASHCARD QUESTION
Front
What is the power property of logarithms?
Back
log_b(M^n) = n * log_b(M) for any positive number M and real number n.
6.
FLASHCARD QUESTION
Front
What is the definition of a natural logarithm?
Back
The natural logarithm, denoted as ln(x), is the logarithm to the base e, where e is approximately 2.718.
7.
FLASHCARD QUESTION
Front
How do you express log_b(x) in terms of natural logarithms?
Back
log_b(x) = ln(x) / ln(b).
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