2 . logs (x - 3) = 2 log6 x + log6(x -9) = 2 logs (x - 3)2 = 2 log (4x] - 28x2) - log(4x) = log 18 log6 (x2 -9x) = 2 52= x2+9 log( 4x) =28x2 ) = log 18 x2 - 9x= 62 25 = x2+9 x2 - 7x = 18 x2 - 9x - 36= 0 x2 -7x - 18 = 0 16 = X2 (x - 12) (x + 3) =0 (x - 9) (x+ 2) =0 A x = 4, x = -4(ext.) x =9, x = -2(ext.) B x = 12, x = -3(ext.) Explain the error: Solve correctly: log2 (x2 + 15) = 6 log3 (4x + 17) - 1083 (x - 2) = 2 logg x + logg(x + 6) = log:(5x + 12) x2+ 15 = 26 log3 ( 4x+17 ) = 2 log:(2x + 6) = logg(5x + 12) 32 4x+17 x2 + 15 = 64 X - 2 2x +6=5x +12 9 - 4x+17 x2 - 49 = 0 X-2 -6 = 3x ( x + 7) (x - 7) =0 9x - 18 = 4x + 17 x = -2, extraneous 5x = 35 No solution A x = -7, x-7 B X = Explain the error: Solve correctly: Solve: Solve: log, (9m - 5) = 4 . 10g7 2 4 = 10g16 (17 - 5a)