Algebra 2 Flashcards: Solving Exponential Equations With Logarithms

Study Solving Exponential Equations With Logarithms in Algebra 2 with focused flashcards that help you recognize the idea, recall the key rule, and apply it in practice-style prompts.

QUESTION

Rewrite the solution of $a\cdot 10^{ct}=d$ using $\ln$ only.

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ANSWER

$t=\frac{\ln\left(\frac{d}{a}\right)}{c\ln(10)}$ . Apply change-of-base formula: $\log_{10}(x) = \frac{\ln(x)}{\ln(10)}$ .

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What this deck covers

This deck focuses on Solving Exponential Equations With Logarithms, giving you a quick way to review the definitions, rules, and examples that matter most for Algebra 2.

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 50Practice questions for this set

Solve for

t

and express the solution as a logarithm. Then use a calculator to approximate:

12\cdot 2^{5t}=150

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