Solving Logarithmic Equations

Flashcard
•
Mathematics
•
9th - 12th Grade
•
Hard
Standards-aligned
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1.
FLASHCARD QUESTION
Front
What is 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 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.
3.
FLASHCARD QUESTION
Front
What is the product property of logarithms?
Back
The product property states that log_b(m * n) = log_b(m) + log_b(n).
4.
FLASHCARD QUESTION
Front
What is the quotient property of logarithms?
Back
The quotient property states that log_b(m / n) = log_b(m) - log_b(n).
5.
FLASHCARD QUESTION
Front
What is the power property of logarithms?
Back
The power property states that log_b(m^p) = p * log_b(m).
6.
FLASHCARD QUESTION
Front
How do you solve the equation log_b(x) = c?
Back
To solve log_b(x) = c, rewrite it in exponential form: x = b^c.
Tags
CCSS.HSF.BF.B.5
7.
FLASHCARD QUESTION
Front
What is the definition of a logarithmic equation?
Back
A logarithmic equation is an equation that involves a logarithm of a variable or expression.
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