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?

The height of a birch tree, f(x), in inches, after x months is shown in the graph below. how much does the birch tree grow per month, and what will be the height of the birch tree after 10 months? a. the birch tree grows 1 inch per month. the height of the birch tree will be 16 inches after 10 months. b. the birch tree grows 2 inches per month. the height of the birch tree will be 26 inches after 10 months. c. the birch tree grows 3 inches per month. the height of the birch tree will be 36 inches after 10 months. d. the birch tree grows 2 inches per month. the height of the birch tree will be 24 inches after 10 months.