A first-magnitude star is 100 times brighter than a sixth magnitude star, which means each difference in magnitude represents a brightness change of 2.51 times.  Compare the  brightness of Star X  which has an apparent magnitude (m)  of −5.8 to Star Y,  which has an apparent magnitude of −12.9.

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A first-magnitude star is 100 times brighter than a sixth magnitude star, which means each difference in magnitude represents a brightness change of 2.51 times. 

Compare the  brightness of Star  which has an apparent magnitude (m)  of −5.8 to Star Y,  which has an apparent magnitude of −12.9.
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