plotting – Variable subscript in AxesLabel

I am calling $y_{n}=x^{n}$ and I want to plot $ln(y_{n})$ for a number of different integer values of $n$ (I know this is very simple- it’s actually a much simpler version of what I’m actually trying to do). If I execute

Table(Plot(Log(x^n), {x, 0, 1}, 
  AxesLabel -> {"x", "ln(" Subscript(y, n) ")"}), {n, 1, 3})

the final part of the $y$ axis label moves to the front. Is there any way to avoid this whilst also properly displaying the subscript. Thanks in advance for any help.