Question
Rewrite as a sum of logarithms using the Product Rule of Logarithms. Do not evaluate the logarithm. \( \log (13 x) \) Submit Question
Ask by Valdez Tyler. in the United States
Mar 15,2025
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Answer
\[
\log (13x) = \log 13 + \log x
\]
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Beyond the Answer
The expression \( \log(13 x) \) can be rewritten using the Product Rule of Logarithms, which states that \( \log(ab) = \log a + \log b \). Therefore, we can express it as: \[ \log(13) + \log(x) \] This way, you've taken the log of a product and split it into the sum of the logs of its factors! Keep rocking those logarithmic transformations!
