Final answer:
Option (a), The logical fallacy in the excerpt is a false dichotomy, as the author presents only two extreme options regarding the use of detergents without considering phosphate-free alternatives.
Step-by-step explanation:
The logical fallacy evident in the excerpt from the persuasive essay, "Saying No to Phosphates," is a false dichotomy. This fallacy is present when the author suggests that the only two options are to either continue using phosphorus-containing detergents which cause eutrophication, or to avoid using detergents altogether.
The author fails to acknowledge that there are phosphate-free detergents that can be used as a compromise solution, which contain phosphate substitutes such as derivatives of acetic acid or other carboxylic acids.