Condense the logarithmic expression: 3 log(x) - log(y) + (1/2) log(z)

A log(3x - y + z/2)

B log((x³√z)/y)

C log(x³ - y + √z)

D log(x³y/√z)

✓ Correct Answer: Option B

Using log properties: 3log(x) = log(x³), (1/2)log(z) = log(√z). Then, log(x³) - log(y) + log(√z) = log((x³√z)/y).

💡 Why is B) the correct answer?

The correct answer to the question "Condense the logarithmic expression: 3 log(x) - log(y) + (1/2) log(z)" is Option B: log((x³√z)/y).

The other options — A) log(3x - y + z/2), C) log(x³ - y + √z), D) log(x³y/√z) — are incorrect for this CLEP Exam Prep question. As explained above: Using log properties: 3log(x) = log(x³), (1/2)log(z) = log(√z). Then, log(x³) - log(y) + log(√z) = log((x³√z)/y).

📚 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.

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Condense the logarithmic expression: 3 log(x) - log(y) + (1/2) log(z)

✓ Correct Answer: Option B

📚 About This CLEP Exam Prep Practice Question

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