Exponential and Logarithmic Review
Flashcard
•
Mathematics
•
11th Grade
•
Practice Problem
•
Hard
Standards-aligned
Wayground Content
FREE Resource
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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. For example, if b^y = x, then log_b(x) = y.
Tags
CCSS.HSF.BF.B.5
2.
FLASHCARD QUESTION
Front
What is the change of base formula for logarithms?
Back
log_b(a) = log_k(a) / log_k(b), where k is any positive number.
3.
FLASHCARD QUESTION
Front
Convert the logarithmic equation log_2(8) = 3 to exponential form.
Back
2^3 = 8.
Tags
CCSS.HSF.BF.B.5
4.
FLASHCARD QUESTION
Front
What is the product rule for logarithms?
Back
log_b(xy) = log_b(x) + log_b(y).
5.
FLASHCARD QUESTION
Front
What is the quotient rule for logarithms?
Back
log_b(x/y) = log_b(x) - log_b(y).
6.
FLASHCARD QUESTION
Front
What is the power rule for logarithms?
Back
log_b(x^k) = k * log_b(x).
7.
FLASHCARD QUESTION
Front
Solve for x: log_5(x) = 2.
Back
x = 25.
Tags
CCSS.HSF.BF.B.5
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