What is the definition of a logarithm?
Logarithm Basics

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•
Mathematics
•
9th - 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, in the expression log_b(a) = c, b^c = a.
2.
FLASHCARD QUESTION
Front
Rewrite the exponential equation 2^3 = 8 in logarithmic form.
Back
log_2(8) = 3.
3.
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.
4.
FLASHCARD QUESTION
Front
What is the value of log_10(100)?
Back
2, because 10^2 = 100.
5.
FLASHCARD QUESTION
Front
Rewrite log_3(81) = 4 in exponential form.
Back
3^4 = 81.
6.
FLASHCARD QUESTION
Front
What is the product rule for logarithms?
Back
The product rule states that log_b(m * n) = log_b(m) + log_b(n).
7.
FLASHCARD QUESTION
Front
What is the quotient rule for logarithms?
Back
The quotient rule states that log_b(m / n) = log_b(m) - log_b(n).
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