CVXPY
Minimize
  x
Subject To
 16: 1.0 <= log(x)
Bounds
 x free
End
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AFTER COMPILATION
Either candidate conic solvers (['GUROBI']) do not support the cones output by the problem (ExpCone, NonNeg), or there are not enough constraints in the problem.
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GUROBI
Minimize
  x[0]
Subject To
 16[0]: log_1[0] >= 1
Bounds
 x[0] free
 log_1[0] free
General Constraints
\ log_1[0] = log(x[0])
 GC0: log_1[0] = NL : ( LOG , -1 , -1 ) ( VARIABLE , x[0] , 0 )
End