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A Cepheid variable star has a period of 4 days. What is the luminosity in solar units?

Period Luminosity relation:

M= -2.81 x log(P)-1.43

M is absolute magnitude
P is the period in days

M= -2.81 x log(4)-1.43
M= -3.12 <----- Absolute magnitude of Cepheid Variable.

Absolute magnitude of the sun = 4.83
4.83-(-3.12)= 7.95

2.512^7.95 = 1,514.105 L_sun

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