PC CH 9: ENTER Answers for Log and Exp TEST

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Mathematics
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9th - 12th Grade
•
Hard
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1.
FLASHCARD QUESTION
Front
What is a logarithm?
Back
A logarithm is the power to which a number must be raised to obtain another number. For example, log_b(a) = c means b^c = a.
2.
FLASHCARD QUESTION
Front
What is the base of a logarithm?
Back
The base of a logarithm is the number that is raised to a power. In log_b(a), b is the base.
3.
FLASHCARD QUESTION
Front
What is the relationship between logarithms and exponents?
Back
Logarithms are the inverse operations of exponentiation. If b^c = a, then log_b(a) = c.
4.
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.
5.
FLASHCARD QUESTION
Front
What is the natural logarithm?
Back
The natural logarithm is the logarithm to the base e, where e is approximately 2.718. It is denoted as ln(x).
6.
FLASHCARD QUESTION
Front
What is the common logarithm?
Back
The common logarithm is the logarithm to the base 10, denoted as log(x).
7.
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).
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