The easiest solution is to build it. To do this, you need two things. 1. Take the log of the first components. 2. Change the tic marks for the first components.

1. There are many ways of doing this. Using a rule is the simplest for many people:

   logaa = aa /. {x, y, z_} -> {Log[x], y, z}

2. See this tutorial on editing tick marks: http://support.wolfram.com/kb/12480

We might define our new tick marks as:

newXticks = Transpose@{Log@FindDivisions[{1, 6}, 5], FindDivisions[{1, 6}, 5]}

and then we can use them:

ListPlot3D[logaa, AxesLabel -> {x, y, z},  Ticks -> {newXticks, Automatic, Automatic}]