5) (12 points) a) Convert the expression logo 72z - into an expression involving log. X, logo y, and logb z b) Write as single logarithm 210g3 u - 10g3 v 6) (20 points) Solve for a: a) 323 = 9 b) 31-2x = 4xc) log3(4:c 7 7) = 2 d) log4(:c + 3) + log4(2 :3) =1 7) (5 points) Find the amount of money that results from 1000 dollars in- vested at 4 percent compounded quarterly after the period of 6 months. 8) (15 points) The number N of bacteria present in a culture at time t, in hours, obeys the law of exponential growth N0?) = 10008031: a) What is the number of bacteria at t = 0 hours? b) When will the number of bacteria double? Give the exact solution in the simplest form. Do not evaluate