Answer
$\log_{10}\frac{xy^4}{z^5}=\log_{10}x+4\log_{10}y-5\log_{10}z$
Work Step by Step
$\log_{10}\frac{xy^4}{z^5}=\log_{10}xy^4-\log_{10}z^5=\log_{10}x+\log_{10}y^4-5\log_{10}z=\log_{10}x+4\log_{10}y-5\log_{10}z$
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