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\(3 \log x+\log y=3\). Then. \(y\) is

\(3 \log x+\log y=3\). Then. \(y\) is
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  • A \(\left(\frac{10}{x}\right)^{1}\)
  • B \(\left(\frac{x}{10}\right)^{3}\)
  • C \(\left(\frac{x}{10}\right)^{-3}\)
  • D \(\left(\frac{10}{x}\right)^{1-\frac{1}{3}}\)
Correct Answer: Option A
Explanation:
\begin{aligned}
&3 \log x+\log y=3, \log x^{3}+\log y=3, \\
&\log x^{3} y=3 \\
&\log x^{3} y=3, x^{3} y=10 \ldots \\
&y=\frac{10^{3}}{x^{3}}=\left(\frac{10}{x}\right)^{3}
\end{aligned}

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