To measure the brightness of a star from earth, the brightness of the star Vega is used as a reference, and is assigned a relative intensity I(0) = 1. The magnitude m of any given star is defined by m = 2.5 log (I), where I is the relative intensity of that star.^7

(a) What is the magnitude of Vega?
(b) Suppose that light arriving from another star has a relative intensity of 5.32. What is the magnitude of this star?