Solve for x: log₃(2x - 1) = 2.

A x = 3

B x = 4

C x = 5

D x = 6

✓ Correct Answer: Option C

Convert the logarithmic equation to its exponential form: 2x - 1 = 3². This simplifies to 2x - 1 = 9. Adding 1 to both sides gives 2x = 10, so x = 5.

💡 Why is C) the correct answer?

The correct answer to the question "Solve for x: log₃(2x - 1) = 2." is Option C: x = 5.

The other options — A) x = 3, B) x = 4, D) x = 6 — are incorrect for this CLEP Exam Prep question. As explained above: Convert the logarithmic equation to its exponential form: 2x - 1 = 3². This simplifies to 2x - 1 = 9. Adding 1 to both sides gives 2x = 10, so x = 5.

📚 About This CLEP Exam Prep Practice Question

This 2-level CLEP Exam Prep question from the College Algebra topic is part of BrainForge Quiz's free exam preparation library. Each question includes the correct answer and a detailed explanation to help you understand the underlying concept, not just memorize the answer.

How to use this page: Read the question above, consider all four options (A through D), then check the highlighted correct answer and explanation. For active timed practice, start a free CLEP Exam Prep practice test or use flashcards for spaced repetition review.

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Solve for x: log₃(2x - 1) = 2.

✓ Correct Answer: Option C

📚 About This CLEP Exam Prep Practice Question

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