I want to characterize the set of parameters that satisfy some conditions. One of the conditions is that the result of Solve/FindRoot is greater than zero. Example:
f[x_, a_, b_, c_] := a*x + Log[b*x - c] - Log[2 a + 10 c] 0<a<1 && 0.5<b<1&&1<c<2
In my example above, I want to find the minimum value of a, b and c that respect the given range such that x>0 (x given by the f[x,a,b,c] from Solve or FindRoot. Any ideas?