Expanding and Condensing Logarithms
Flashcard
•
Mathematics
•
9th Grade - University
•
Practice Problem
•
Hard
Standards-aligned
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15 questions
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1.
FLASHCARD QUESTION
Front
What is the product rule of logarithms?
Back
log_b(MN) = log_b(M) + log_b(N) - This rule states that the logarithm of a product is the sum of the logarithms of the factors.
2.
FLASHCARD QUESTION
Front
What is the quotient rule of logarithms?
Back
log_b(M/N) = log_b(M) - log_b(N) - This rule states that the logarithm of a quotient is the difference of the logarithms.
3.
FLASHCARD QUESTION
Front
What is the power rule of logarithms?
Back
log_b(M^k) = k * log_b(M) - This rule states that the logarithm of a number raised to a power is the power times the logarithm of the number.
4.
FLASHCARD QUESTION
Front
Condense the expression: log_a(x) + log_a(y) + log_a(z^3)
Back
log_a(xyz^3) - This uses the product rule of logarithms.
5.
FLASHCARD QUESTION
Front
Expand the expression: log_8(u^6) - log_8(v^2)
Back
6log_8(u) - 2log_8(v) - This uses the power and quotient rules of logarithms.
6.
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
7.
FLASHCARD QUESTION
Front
What is the change of base formula for logarithms?
Back
log_b(a) = log_k(a) / log_k(b) - This formula allows you to change the base of a logarithm.
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