Approaching King Nebuchadnezzar to deliver a severe accusation requires a dramatic and highly formal presentation. The accusers do not simply speak in a normal conversational tone; instead, they raise their voices and shout, as this specific form of expression always indicates a loud, forceful declaration [רש״י, מצודת דוד].
Before presenting their charges, they carefully follow the established rules of royal etiquette. They begin by wishing the king a long life, declaring that he should live forever. This type of greeting was a standard practice across many different countries and languages [ביאור שטיינזלץ]. It represents basic manners and respect, as anyone seeking an audience with a monarch is expected to open with a blessing and a prayer for his continued life [אבן עזרא, מצודת דוד].
Behind this loud and respectful opening lies a calculated strategy. The speakers are carefully setting the stage to remind the king of his own sweeping command. They recall the strict order that anyone who hears the sound of the musical instruments must bow down, and anyone who refuses will be thrown into a fiery furnace. By emphasizing that this royal decree was absolute and applied to everyone without any distinction between different religions, they lay the necessary groundwork to build their case [מלבי״ם].