Imagine you observe a Cepheid variable star with an apparent V-band magnitude of 18.0 in the direction of the Andromeda galaxy which is at a distance of d = 850 kpc from us. The period of the star is 8 days and you know that the period-luminosity relation is My = −2.81 log P – 1.43. Verify if the star belongs to the Andromeda galaxy or not.
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