Expanding and Condensing 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
log_b(MN) = log_b(M) + log_b(N)
2.
FLASHCARD QUESTION
Front
What is the quotient rule of logarithms?
Back
log_b(M/N) = log_b(M) - log_b(N)
3.
FLASHCARD QUESTION
Front
What is the power rule of logarithms?
Back
log_b(M^k) = k * log_b(M)
4.
FLASHCARD QUESTION
Front
Condense: 2log_8(u) + 3log_8(v)
Back
log_8(u^2 * v^3)
5.
FLASHCARD QUESTION
Front
Expand: log_8(x^4)
Back
4log_8(x)
6.
FLASHCARD QUESTION
Front
Condense: log_8(x) + log_8(y) - log_8(z)
Back
log_8(xy/z)
7.
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.
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