Condense the logarithmic expression: log_b(x) + 3log_b(y) - log_b(z)

A log_b(xy³z)

B log_b(x + y³ - z)

C log_b(xy³ / z)

D log_b(3xy / z)

✓ Correct Answer: Option C

Using logarithm properties, 3log_b(y) = log_b(y³). Then, additions become multiplication and subtractions become division inside the logarithm: log_b(x) + log_b(y³) - log_b(z) = log_b(xy³/z).

💡 Why is C) the correct answer?

The correct answer to the question "Condense the logarithmic expression: log_b(x) + 3log_b(y) - log_b(z)" is Option C: log_b(xy³ / z).

The other options — A) log_b(xy³z), B) log_b(x + y³ - z), D) log_b(3xy / z) — are incorrect for this CLEP Exam Prep question. As explained above: Using logarithm properties, 3log_b(y) = log_b(y³). Then, additions become multiplication and subtractions become division inside the logarithm: log_b(x) + log_b(y³) - log_b(z) = log_b(xy³/z).

📚 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.

Practice CLEP Exam Prep Quizzes → Browse All Questions Study Flashcards

Condense the logarithmic expression: log_b(x) + 3log_b(y) - log_b(z)

✓ Correct Answer: Option C

📚 About This CLEP Exam Prep Practice Question

Related CLEP Exam Prep Questions