What is the definition of a logarithm?
Logarithmic Functions Practice

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Mathematics
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10th - 12th Grade
•
Hard
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1.
FLASHCARD QUESTION
Front
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.
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 relationship between logarithms and exponents?
Back
Logarithms are the inverse operations of exponentiation. If b^y = x, then log_b(x) = y.
4.
FLASHCARD QUESTION
Front
What is the value of log_10(100)?
Back
2, because 10^2 = 100.
5.
FLASHCARD QUESTION
Front
What is the value of log_2(8)?
Back
3, because 2^3 = 8.
6.
FLASHCARD QUESTION
Front
What is the product rule for logarithms?
Back
The product rule states that log_b(xy) = log_b(x) + log_b(y).
7.
FLASHCARD QUESTION
Front
What is the quotient rule for logarithms?
Back
The quotient rule states that log_b(x/y) = log_b(x) - log_b(y).
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