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# What is 2logx+logy−2logz2logx+logy−2logz written as a single logarithm?

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What is 2logx+logy−2logz2logx+logy−2logz written as a single logarithm?

May 30, 2018

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What is 2logx+logy−2logz2logx+logy−2logz written as a single logarithm?

$$\begin{array}{|rcll|} \hline && 2\log(x)+\log(y)-2\log(z) \\ &=& \log(x^2)+\log(y)-\log(z^2) \\ &=& \log\left(\dfrac{x^2y}{z^2} \right) \\ \hline \end{array}$$

Jun 1, 2018