Practice: Rewriting and Evaluating Logarithms

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•
Mathematics
•
9th - 12th Grade
•
Hard
Standards-aligned
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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. For example, log_b(a) = c means b^c = a.
Tags
CCSS.HSF.BF.B.5
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 logarithmic identity log_b(b) = ?
Back
log_b(b) = 1, because any number raised to the power of 1 is itself.
4.
FLASHCARD QUESTION
Front
What is the logarithmic identity log_b(1) = ?
Back
log_b(1) = 0, because any number raised to the power of 0 is 1.
5.
FLASHCARD QUESTION
Front
How do you rewrite log_5(25) in exponential form?
Back
log_5(25) = 2 can be rewritten as 5^2 = 25.
Tags
CCSS.HSF.BF.B.5
6.
FLASHCARD QUESTION
Front
What is the value of log_3(81)?
Back
log_3(81) = 4, because 3^4 = 81.
7.
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.
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