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Write the expression as a sum and/or difference of logarithms. Express powers as factors.log7(343x)

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\begin{gathered} \text{Given} \\ \log _7(343x) \end{gathered}

Recall the product rule of logarithms


\log _b(xy)=\log _b(x)+\log _b(y)

Apply the product rule to the given and we get


\log _7(343x)=\log _7(343)+\log _7(x)

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