Use the properties of logarithms to expand .
Each logarithm should involve only one variable and should not have any exponents or fractions.
Assume that all variables are positive.

Let's expand the given logarithmic expression using the properties of logarithms.

Here are the key properties we'll use:
1. **Product Rule**: \(\log_b (xy) = \log_b x + \log_b y\)
2. **Quotient Rule**: \(\log_b \left(\frac{x}{y}\right) = \log_b x - \log_b y\)
3. **Power Rule**: \(\log_b (x^r) = r \log_b x\)

Now, if you have a specific expression you'd like expanded, I can apply these properties to break it down for you. Could you provide the expression?



Use the properties of logarithms to expand. Each logarithm should involve only one variable and should not have any exponents or fractions. Assume that all variables are positive.

Learn how to expand logarithmic expressions using the properties of logarithms. This problem covers key logarithmic concepts like the product rule, quotient rule, and power rule, suitable for students in Grades 10-12.

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