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Expanding logarithms using the product property means turning one `log` of a multiplication into several logs added together. For example, \(\log_b(xy)\) becomes \(\log_b(x) + \log_b(y)\). This makes tricky log problems easier to handle and solve because we break them into simpler parts. It's like taking a big math problem and splitting it into smaller, more manageable pieces.

Example: Expand \(\log_2(8x)\) using the product property of logarithms.

Algebra 2

Logarithms