A property of logarithms is that $\displaystyle{\log_a x = \frac{\log_b x}{\log_b a} }$ for all bases $a, b > 0, \neq 1$. When $b = e$, this becomes $\displaystyle \log_a x = \frac{\ln x}{\ln a}$.

1. Using this identity, find the derivative of $y = \log_a x.$
   
2. Find the derivative of $y = \log_{3} x.$