In[]:=
proc = ItoProcess[x[t] == 0.1x[t]-0.3 log(x[t]) t + 0.1*x[t] w[t], x[t], {x, 1}, t, w WienerProcess[]]RandomFunction[proc, {0., 5., 0.01}];ListLinePlot[%, Filling -> Axis]
Out[]=
ItoProcess[{{0.-0.3logx[t]},{{0.1x[t]}},x[t]},{{x},{1}},{t,0}]
Out[]=
ListLinePlot[RandomFunction[ItoProcess[{{0.-0.3logx[t]},{{0.1x[t]}},x[t]},{{x},{1}},{t,0}],{0.,5.,0.01}],FillingAxis]
