Persiapan Ulangan 2

Jawab: E

Pilihan 1

\begin{equation*}
\begin{split}
& \frac {\log \sqrt [3] {x} + \log \sqrt [3] {y}}{\log xy} \\\\
& \frac {\log (x^{\frac 13} \:.\: y^{\frac 13})}{\log xy} \\\\
& \frac {\log (xy)^{\frac 13}}{\log xy} \\\\
& \frac {\frac 13 \:.\: \log xy}{\log xy} \\\\
& \frac {\frac 13 \:.\: \cancel {\log xy}}{\cancel {\log xy}} \\\\
& \frac 13
\end{split}
\end{equation*}

Pilihan 2

\begin{equation*}
\begin{split}
& (\sqrt{x})^{^x \log y^2} \\\\
& (x^{\frac 12})^{^x \log y^2} \\\\
& (x^{^x \log y^2})^{\frac 12} \\\\
& (y^2)^{\frac 12} \\\\
& y
\end{split}
\end{equation*}

Pilihan 3

\begin{equation*}
\begin{split}
& 10^{\: 2 \log x} \\\\
& \left(10^{\log x}\right)^2 \\\\
& x^2
\end{split}
\end{equation*}