Properties of Logarithms

Flashcard
•
Mathematics
•
9th - 11th Grade
•
Hard
Standards-aligned
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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. For example, log_b(a) = c means b^c = a.
Tags
CCSS.HSF.BF.B.5
2.
FLASHCARD QUESTION
Front
What is the product property of logarithms?
Back
The product property states that log_b(xy) = log_b(x) + log_b(y).
3.
FLASHCARD QUESTION
Front
What is the quotient property of logarithms?
Back
The quotient property states that log_b(x/y) = log_b(x) - log_b(y).
4.
FLASHCARD QUESTION
Front
What is the power property of logarithms?
Back
The power property states that log_b(x^n) = n * log_b(x).
5.
FLASHCARD QUESTION
Front
How do you express log_b(1)?
Back
log_b(1) = 0, because any base raised to the power of 0 equals 1.
6.
FLASHCARD QUESTION
Front
How do you express log_b(b)?
Back
log_b(b) = 1, because any base raised to the power of 1 equals itself.
7.
FLASHCARD QUESTION
Front
What is the change of base formula for logarithms?
Back
The change of base formula states that log_b(a) = log_k(a) / log_k(b) for any positive k.
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