7.6 Properties of Logs

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Mathematics
•
11th Grade
•
Hard
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1.
FLASHCARD QUESTION
Front
What is the property of logarithms that states \( \log\left(\frac{x}{y}\right) \)?
Back
\( \log x - \log y \) (Quotient Rule)
2.
FLASHCARD QUESTION
Front
How can you express \( \log_b\left(\frac{x}{y}\right) \) as two logs?
Back
\( \log_b x - \log_b y \)
3.
FLASHCARD QUESTION
Front
Convert the logarithmic equation \( \log_6 36 = 2 \) to exponential form.
Back
\( 6^2 = 36 \)
Tags
CCSS.HSF.BF.B.5
4.
FLASHCARD QUESTION
Front
What is the property of logarithms for \( \log_b(x^n) \)?
Back
\( n \log_b x \) (Power Rule)
5.
FLASHCARD QUESTION
Front
How do you combine \( \log_2 x - 5 \log_2 y \) into a single logarithm?
Back
\( \log_2\left(\frac{x}{y^5}\right) \)
6.
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.
Tags
CCSS.HSF.BF.B.5
7.
FLASHCARD QUESTION
Front
What is the change of base formula for logarithms?
Back
\( \log_b a = \frac{\log_k a}{\log_k b} \) for any base \( k \).
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