U4L3 Evaluate Logarithms
Flashcard
•
Mathematics
•
10th - 11th Grade
•
Practice Problem
•
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. For example, in the expression log_b(a) = c, b^c = a.
2.
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.
3.
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.
4.
FLASHCARD QUESTION
Front
Evaluate log_10(1000).
Back
3, because 10^3 = 1000.
5.
FLASHCARD QUESTION
Front
Convert the exponential equation 2^5 = 32 to logarithmic form.
Back
log_2(32) = 5.
6.
FLASHCARD QUESTION
Front
What is the change of base formula for logarithms?
Back
log_b(a) = log_k(a) / log_k(b), where k is any positive number.
7.
FLASHCARD QUESTION
Front
Evaluate log_5(125).
Back
3, because 5^3 = 125.
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