Logarithmic Functions (College Board AP® Precalculus): Exam Questions

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Let a and b be positive constants. Which of the following is equivalent to 3 \ln a + 2 \ln b?

  • \ln \left(\frac{a^{3}}{b^{2}}\right)

  • \ln \left(a^{3} b^{2}\right)

  • \ln \left(3 a + 2 b\right)

  • \ln \left(\frac{3 a}{2 b}\right)