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