Astronomers use the period-luminosity relationship of Cepheid variables and the distance modulus formula, m−M=5log_10⁡(d)−5 , to determine the distances to far-away stars and galaxies. In the formula, m represents a star's apparent magnitude, M represents its absolute magnitude, and d represents the distance in parsecs. A Cepheid variable has an apparent magnitude m=12.0 and is located 1,000 parsecs from Earth. What is its absolute magnitude?