Logarithms
Flashcard
•
Mathematics
•
10th Grade
•
Practice Problem
•
Hard
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1.
FLASHCARD QUESTION
Front
What is a logarithm?
Back
A logarithm is the inverse operation to exponentiation, indicating the power to which a base must be raised to obtain a given number.
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 to produce a given number. For example, in log_b(a), b is the base.
3.
FLASHCARD QUESTION
Front
What is the logarithmic identity: log_b(b) = ?
Back
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
0, because any number raised to the power of 0 is 1.
5.
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.
6.
FLASHCARD QUESTION
Front
How do you solve the equation 4^(2x + 1) = 17?
Back
x = 1.
7.
FLASHCARD QUESTION
Front
How do you solve the equation -6log_3(x - 3) = -24?
Back
x = 84.
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