We have the expression:
[tex]y^6=30[/tex]If we apply the logarithm with base 30 to both sides, we obtain:
[tex]\begin{gathered} \log_{30}(y^6)=\log_{30}(30) \\ 6\log_{30}y=1 \\ \log_{30}y=\frac{1}{6} \end{gathered}[/tex]Answer: an equivalent logarithmic expression is log_30(y) = 1/6