The stellar magnitude M of a star is related to its brightness B as seen from earth

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The stellar magnitude M of a star is related to its brightness B as seen from earth according to
|м- -log (B/B,) M 2

where B0 is a standard level of brightness (the brightness of the star Vega).
(a) Find the magnitude of Venus if its brightness is 36.3 times B0.
(b) Find the brightness (as a multiple of B0) of the North Star if its magnitude is 2.1.
(c) If the faintest stars have magnitude 6, find their brightness (as a multiple of B0).
(d) Is a star with magnitude - 1.0 brighter than a star with magnitude + 1.0?

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