# Plot3D with a log scale only along the y-axis

I would like to ask how to make a 3D plot (maybe using Plot3D) with a logarithmic scale along the y-axis?

For example: I have a function, $f(x) = 2(1 + a\,x^4)/x^2$, where $x$ varies from 0 to 20 while $a$ varies from 0 to $10^{-3}$. I am interested in making a 3D plot of $f(x)$ in a low range of $a$ such as from 0 to $10^{-7}$ or 0 to $10^{-5}$. Therefore, I think it might be better to scale the y-axis logarithmically.

Any suggestion would be highly appreciated.

-
What code have you tried so far? –  Mike Honeychurch Oct 21 '13 at 3:51
Why not just do Log@ on your function? –  rm -rf Oct 21 '13 at 3:56
LogPlot will give you a logarithmic $y$-axis. –  Stephen Luttrell Oct 21 '13 at 13:19

logf[logx_, loga_] := Log10[2 (1 + 10^loga 10^logx^4)/10^logx^2]