) Find the solution set for 42x'1 = 8"\". -) If you invest $10,000, which pays 4% interest compounded quarterly, how much money will you have 18 years later? ) Write the following as a single logarithm in fully simplified form: long2 9) log(x2 + 7x + 12) .) Find the exact answer for 5\" = 3"\". You should have logarithms in your answer. ') Find the solution set for log(7x 12) = 2 log x. -) Find the inverse ofthe function f(x) = ln(x + 1) 4 and write your answer using f'1(x) notation. I] Solve the following system of equations using the method of your choice: 2x 3y z = 0 x + 2y + z = 5 3x 4y z = 1 1) Write the following rational expression as a partial fraction decomposition x x2+2x3 .)|fA=[:' g and B=[ g],findehen2A=B3X. !) Show that the following 3x3 matrices are inverses of each other by calculating AB and BA. What is the resulting matrix in both cases? 5 1 1 1 2 2 12 1 A = 2 0 6] and B = 3 2 3 5 7 __ l l 3 3 I) Calculate the inverse for each of the following matrices or explain why the inverse does not exist: a) A=[_32 '11] I::)B=['21