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

A log((xy)/z^3)

B log((x^2 y)/z^3)

C log(x^2 y z^3)

D log((x^2)/(yz^3))

✓ Correct Answer: Option B

Using log properties: a log(b) = log(b^a), and log(a) + log(b) - log(c) = log((ab)/c). So, 2log(x) + log(y) - 3log(z) becomes log(x^2) + log(y) - log(z^3), which condenses to log((x^2 y)/z^3).

💡 Why is B) the correct answer?

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

The other options — A) log((xy)/z^3), C) log(x^2 y z^3), D) log((x^2)/(yz^3)) — are incorrect for this CLEP Exam Prep question. As explained above: Using log properties: a log(b) = log(b^a), and log(a) + log(b) - log(c) = log((ab)/c). So, 2log(x) + log(y) - 3log(z) becomes log(x^2) + log(y) - log(z^3), which condenses to log((x^2 y)/z^3).

📚 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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Condense the logarithmic expression: 2log(x) + log(y) - 3log(z)?

✓ Correct Answer: Option B

📚 About This CLEP Exam Prep Practice Question

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