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AP Precalculus Flashcards: Logarithmic Expressions

Study Logarithmic Expressions in AP Precalculus with focused flashcards that help you recognize the idea, recall the key rule, and apply it in practice-style prompts.

QUESTION

What is the quotient property of logarithms for log⁡b(MN)\log_b\left(\frac{M}{N}\right)?

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ANSWER

log⁡b(MN)=log⁡b(M)−log⁡b(N)\log_b\left(\frac{M}{N}\right)=\log_b(M)-\log_b(N). The log of a quotient equals the difference of the logs.

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AP Precalculus: Exponential and Logarithmic Functions

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What this deck covers

This deck focuses on Logarithmic Expressions, giving you a quick way to review the definitions, rules, and examples that matter most for AP Precalculus.

How to use these flashcards

Work through these flashcards in short sessions. Try to answer each prompt before flipping the card, then revisit any cards you miss until the explanation feels automatic.

Practice questions

1 of 17Practice questions for this set
A savings account grows from 20002000 to 35003500 at 4.5%4.5\% interest compounded monthly. You model the balance by A=2000(1+0.04512)12tA=2000\left(1+\frac{0.045}{12}\right)^{12t}, where tt is in years. Use logarithmic identities to rewrite tt as a single logarithm in terms of given values. Based on the scenario above, which expression equals tt?
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