Solve the exponential equation: 5^(2x - 1) = 125^(x - 3).

A x = 4

B x = 5

C x = 8

D x = 10

✓ Correct Answer: Option C

Rewrite with a common base: 5^(2x - 1) = (5³)^(x - 3). This simplifies to 5^(2x - 1) = 5^(3x - 9). Equate the exponents: 2x - 1 = 3x - 9. Solving for x yields x = 8.

💡 Why is C) the correct answer?

The correct answer to the question "Solve the exponential equation: 5^(2x - 1) = 125^(x - 3)." is Option C: x = 8.

The other options — A) x = 4, B) x = 5, D) x = 10 — are incorrect for this CLEP Exam Prep question. As explained above: Rewrite with a common base: 5^(2x - 1) = (5³)^(x - 3). This simplifies to 5^(2x - 1) = 5^(3x - 9). Equate the exponents: 2x - 1 = 3x - 9. Solving for x yields x = 8.

📚 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 the exponential equation: 5^(2x - 1) = 125^(x - 3).

✓ Correct Answer: Option C

📚 About This CLEP Exam Prep Practice Question

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