Logarithm Properties

Flashcard
•
Mathematics
•
9th - 12th 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 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.
3.
FLASHCARD QUESTION
Front
What is the product property of logarithms?
Back
The product property states that log_b(m * n) = log_b(m) + log_b(n).
4.
FLASHCARD QUESTION
Front
What is the quotient property of logarithms?
Back
The quotient property states that log_b(m / n) = log_b(m) - log_b(n).
5.
FLASHCARD QUESTION
Front
What is the power property of logarithms?
Back
The power property states that log_b(m^n) = n * log_b(m).
6.
FLASHCARD QUESTION
Front
How do you condense the expression log_b(x^6) - log_b(y^3)?
Back
log_b(x^6 / y^3).
7.
FLASHCARD QUESTION
Front
How do you express log(30) - log(6) as a single logarithm?
Back
log(30 / 6) = log(5).
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