Persamaan Eksponen Sederhana

\begin{equation*}
\begin{split}
\sqrt[2x]{32} & = 8 \:.\: \sqrt[3x]{4}\\\\
\sqrt[2x]{(2)^5} & = (2)^3 \:.\: \sqrt[3x]{(2)^2} \\\\
(2)^{\frac{5}{2x}} & = (2)^3 \:.\: (2)^{\frac{2}{3x}}\\\\
(2)^{\frac{5}{2x}} & = (2)^{3 + \frac{2}{3x}} \\\\
\frac{5}{2x} & = 3 + \frac{2}{3x} \quad {\color {blue} \text{ kali 6x di kedua ruas}}\\\\
15 & = 18x + 4 \\\\
-18x  & = 4 - 15 \\\\
-18x & = -11 \\\\
x & = \tfrac{11}{18}
\end{split}
\end{equation*}