[tex]\displaystyle\bf\\\log_{x}y=5\\\\\\\log_{x} \sqrt[3]{xy} =\log_{x} \Big(xy\Big)^{\dfrac{1}{3} } =\frac{1}{3}\log_{x} (xy)=\frac{1}{3} \Big(\underbrace{\log_{x} x}_{1}+\underbrace{\log_{x} y}_{5}\Big)=\\\\\\=\frac{1}{3}\cdot(1+5)=\frac{1}{3} \cdot 6=2\\\\\\Otvet \ : 2[/tex]
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[tex]\displaystyle\bf\\\log_{x}y=5\\\\\\\log_{x} \sqrt[3]{xy} =\log_{x} \Big(xy\Big)^{\dfrac{1}{3} } =\frac{1}{3}\log_{x} (xy)=\frac{1}{3} \Big(\underbrace{\log_{x} x}_{1}+\underbrace{\log_{x} y}_{5}\Big)=\\\\\\=\frac{1}{3}\cdot(1+5)=\frac{1}{3} \cdot 6=2\\\\\\Otvet \ : 2[/tex]