The correct answer to the question is option 3: By distillation.

Distillation is a method used to separate a mixture of liquids based on differences in their boiling points. In a homogeneous mixture of two liquids, the liquids are thoroughly mixed and can appear as a single phase. So, using filtration (option 1), which is a method of separating solids from liquids, would not be applicable in this case.

Evaporation (option 2) involves heating the mixture to vaporize the liquid component, leaving behind the other liquid. However, this method only works if the boiling points of the liquids are significantly different, so that one liquid evaporates while the other remains in liquid form. If the boiling points of the liquids are too close, evaporation may not effectively separate them.

Distillation (option 3) is the most suitable method for separating two liquids in a homogeneous mixture. The mixture is heated to their boiling points, and the liquid with the lower boiling point evaporates first. The vapor is then cooled and condensed back into a liquid, resulting in the separation of the two liquids.

Condensation (option 4) is the process by which a vapor or gas turns into a liquid. Although condensation is involved in distillation, it is not the primary method