The stellar magnitude scale compares the brightness of stars using the equation: m2 - m1 = log (b1/b2). m1 and m2 are the apparent magnitudes of the 2 stars being compared (how bright they appear in the sky). b1 and b2 are their brightness (how much light they actually they emit). This relationship does not factor in how far Earth the stars are.
a) Sirius is the brightest-appearing star in our sky, with the apparent magnitude of - 1.5. How much brighter does Sirius appear than Betelgeuse, whose apparent magnitude is 0.12?
b) The Sun appears about 1.3x10^10 times are brighter in our sky as does Sirius. What is the apparent magnitude of the Sun?