Learn how to expand logarithmic expressions using the product rule

The video tutorial explains how to expand logarithms by using the product and power rules. It begins with an introduction to the concept of expanding a single logarithm into multiple logarithms. The instructor demonstrates the application of the product rule to separate terms by addition while maintaining the same base. Finally, the power rule is applied to simplify terms with exponents, resulting in a fully expanded logarithmic expression.

What is the first step in expanding the logarithm of a product?

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Explain the product rule in logarithms as mentioned in the text.

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Why is it important to keep the bases the same when expanding logarithms?

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How do you handle exponents when expanding logarithms?

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What is the final expanded form of the logarithm as described in the text?

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