Please help

1. Simplify the following: (a) log3(: 27 (b) 16 0816(50) (c) log1(216) (d) log125 (5) Show work and rationale, and simplify your answer for full credit. Answers based on technology (calculators, applets, software packages, etc.) are not accepted.2. Solve the following equations analytically: (Be sure to check for extraneous solution(s)) _ x _ 1 (a)4- 2 'E (b)27" =3 (c)8'x = 8 (d)100" = 2 Show work and rationale, and simplify your answer for full credit. Answers based on technology (calculators, applets, software packages, etc. ) are not accepted