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

A 1

B 2

C 3

D 4

✓ Correct Answer: Option C

Rewrite 125 as 5^3. So, 5^(2x - 3) = 5^3. Equating the exponents gives 2x - 3 = 3. Solving for x yields 2x = 6, so x = 3.

💡 Why is C) the correct answer?

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

The other options — A) 1, B) 2, D) 4 — are incorrect for this CLEP Exam Prep question. As explained above: Rewrite 125 as 5^3. So, 5^(2x - 3) = 5^3. Equating the exponents gives 2x - 3 = 3. Solving for x yields 2x = 6, so x = 3.

📚 About This CLEP Exam Prep Practice Question

This 3-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.

Practice CLEP Exam Prep Quizzes → Browse All Questions Study Flashcards

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

✓ Correct Answer: Option C

📚 About This CLEP Exam Prep Practice Question

Related CLEP Exam Prep Questions