The difference m 1 m 2 in magnitudes (visual brightnesses) of two stars varies directly as the base 10 logarithm of the ratio b 1 b 2 of their actual brightnesses For two particular stars, if b 2 100b 1 for m 1 7 and m 2 2, find the equation relating m 1 , m 2 , b 1 , and b 2

Question: The difference m 1 m 2 in magnitudes (visual brightnesses) of two stars varies directly as the base 10 logarithm of the ratio b

The difference m₁ − m₂ in magnitudes (visual brightnesses) of two stars varies directly as the base 10 logarithm of the ratio b₁/b₂ of their actual brightnesses. For two particular stars, if b₂ = 100b₁ for m₁ = 7 and m₂ = 2, find the equation relating m₁, m₂, b₁, and b₂.

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