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.  Bchange ≈

Astronomy
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ISBN:9781938168284
Author:Andrew Fraknoi; David Morrison; Sidney C. Wolff
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Chapter17: Analyzing Starlight
Section: Chapter Questions
Problem 39E: Star A and Star B have different apparent brightnesses but identical luminosities. If Star A is 20...
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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 a star with an apparent magnitude (m)

 of −2.1 to a star with an apparent magnitude of +2.9.
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. 

Bchange

 

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