Logarithms

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•
Mathematics
•
11th Grade
•
Hard
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1.
FLASHCARD QUESTION
Front
What is a logarithm?
Back
A logarithm is the power to which a number (the base) must be raised to obtain another 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
Rewrite the equation 100 = 10^2 in logarithmic form.
Back
log_10(100) = 2.
4.
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).
5.
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).
6.
FLASHCARD QUESTION
Front
What is the power rule for logarithms?
Back
The power rule states that log_b(m^n) = n * log_b(m).
7.
FLASHCARD QUESTION
Front
Convert log_2(32) to exponential form.
Back
2^5 = 32.
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