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Condensing logarithms using the product property involves combining addition logarithmic terms into a single logarithm of a product. For instance, \(\log_b(x) + \log_b(y)\) condenses to \(\log_b(xy)\) when the bases are the same. This method simplifies complex logarithmic expressions by reducing them into more compact and manageable forms, which is useful for calculations and problem-solving in various mathematical contexts.

Example: Condense the logarithms \(\log_2(3) + \log_2(5)\) using the product property.

Algebra 2

Logarithms