Explain how log works please and how to get these answers

3. Solve using properties & rules of logarithms. Find ALL solutions, check for extraneous solutions, and identify solutions appropriately. a). log, x + log4 (x + 2) = log, 3 b). log2 (x - 3) + log2 (x + 3 ) = 4 x = x = 5 Note: x = -3 is extraneous Note: x = -5 is extraneous c). log(x) + log(x + 1) = log(3x + 3) d). In(2x - 3) - In(x + 5 ) = 0 x = x = 8 Note: x = -1 is extraneous e). 3 + log(2x + 5) = 2 f). 15 = 5 . ex 49 X = 20 x = =In (3) g). 52x+1 = 3x-1 h). 6*-1 = 5 -3* In (5)+In (3) x = In (3)-2 In(5) OR x = log = 15 x = In (5)+In (6) OR x = log2 30 25 In (6)-In(3) 4. Solve the Higher Degree Polynomial. List ALL of the Possible Rational Zeros, verify a rational zero using synthetic division, then use the depressed equation to find all zeros of the equation f(x) = 0. a. f(x) = 2x3 - 3x2 - 4x - 1 List PRZ: - 1, --, -, 1; Zeros: $,1+ V2 b. f(x) = 3x3 - 5x2 - 5x - 1 List PRZ: - 1, - 4,=,1; Zeros: -_, 1+ V2 c. f(x) = x3 + 5x2 + 2x -8 List PRZ: - 8, -4, -2, -1, 1, 2, 4,8; Zeros: -4, -2, 1 d. f(x) =x3 -7x2+ 16x -10 List PRZ: - 10, -5, -2, -1, 1, 2, 5, 10; Zeros: 1, 3 +