Logarithmic Functions Practice

Flashcard
•
Mathematics
•
9th - 12th Grade
•
Hard
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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. It is expressed as logb(a) = c, meaning bc = a.
Tags
CCSS.HSF.BF.B.5
2.
FLASHCARD QUESTION
Front
How do you convert a logarithmic equation to exponential form?
Back
To convert a logarithmic equation logb(a) = c to exponential form, rewrite it as bc = a.
Tags
CCSS.HSF.BF.B.5
3.
FLASHCARD QUESTION
Front
What is the value of log1010?
Back
The value of log1010 is 1.
4.
FLASHCARD QUESTION
Front
What is the value of logb(b) for any base b?
Back
The value of logb(b) is always 1.
5.
FLASHCARD QUESTION
Front
What is the change of base formula for logarithms?
Back
The change of base formula states that logb(a) = logk(a) / logk(b) for any positive base k.
6.
FLASHCARD QUESTION
Front
What is the common logarithm?
Back
The common logarithm is the logarithm with base 10, denoted as log(x) or log10(x).
7.
FLASHCARD QUESTION
Front
What is the natural logarithm?
Back
The natural logarithm is the logarithm with base e (approximately 2.718), denoted as ln(x).
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