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9. expand the logarithmic expression. $ln \frac{x}{3y} = square$

Question

  1. expand the logarithmic expression. $ln \frac{x}{3y} = square$

Explanation:

Step1: Apply log quotient rule

$\ln \frac{x}{3y} = \ln x - \ln(3y)$

Step2: Apply log product rule

$\ln x - (\ln 3 + \ln y)$

Step3: Simplify the expression

$\ln x - \ln 3 - \ln y$

Answer:

$\ln x - \ln 3 - \ln y$