Question: The brightness of stars is measured by the system of stellar magnitudes. The faintest stars that can be seen by the unaided human eye measure magnitude 6. A star 100 times brighter than the faintest star measures magnitude 1, and a star 10,000 times brighter measures magnitude $-4 .$ (Note that brighter stars have smaller magnitudes. A star fainter than magnitude 6 cannot be seen without a telescope.) Determine the magnitudes of these stars:

10,000 times fainter

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