Problem

QUESTION 11 - 1 POINT Use the quotient rule to expand $\ln \left(\frac{3 y-5}{y}\right)$. Provide your answer below:

Solution

Step 1 :The quotient rule for logarithms states that the logarithm of a quotient is the difference of the logarithms. In other words, \(\ln \left(\frac{a}{b}\right) = \ln(a) - \ln(b)\). We can apply this rule to expand the given expression.

Step 2 :Let's apply the rule to the given expression \(\ln \left(\frac{3 y-5}{y}\right)\).

Step 3 :By applying the rule, we get \(\ln(3y - 5) - \ln(y)\).

Step 4 :\(\boxed{\ln(3y - 5) - \ln(y)}\) is the final answer.

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