Question

Using the subsitution y = log(base 3) x, solve the below equation

Answer 1

\[\log_{3}x^3 = (\log_3x)^3\]

Answer 2

\[\begin{align*}\large\color{red}{\log_3x^3}&=\large(\log_3x)^3\\
\large3\log_3x&=\large(\log_3x)^3\end{align*}\]
\[\large y=\log_3x\]
\[\begin{align*}\large3y&=\large y^3\\
\large y^3-3y&=0\end{align*}\]