The theoretical analysis on the exhaust muffler of an engine contains various difficult factors. Consequently, almost all the recent reports are based on the presupposition that the tail pipe of a muffler has in finite length. In this paper, therefore, the theoretical formulas of attenuation are studied from the point of view that the tail pipe has finite length. The greater parts of the formulas shown in this paper are established by the application of the theories of electrical and mechanical engineering. As a supplement, a theoretical formula is induced in this paper to express what effect is obtainable when the inner walls of the muffler are made absorptive.