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Rewrite as a sum of logarithms using the Product Rule of Logarithms. \( \log _{9}(8 x) \) \( \square \)

Ask by Dawson Knight. in the United States
Mar 15,2025

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\( \log_{9}(8x) = \log_{9}8 + \log_{9}x \)

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To rewrite \( \log_{9}(8x) \) as a sum of logarithms using the Product Rule, you can express it as: \[ \log_{9}(8) + \log_{9}(x). \] This utilizes the fact that the logarithm of a product is the sum of the logarithms of the individual factors. So, you've successfully broken it down into two separate logarithmic expressions!

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