The number of solutions of the equation log (x-3)(x3-3 x2-4 x+8)=3 is

Question

The number of solutions of the equation log (x-3)(x3-3 x2-4 x+8)=3 is (A) 1 (B) 2 (C) 3 (D) 0

Tardigrade Admin · Accepted Answer

( x -3)>0, x 3-3 x 2-4 x +8>0 x 3-3 x 2-4 x +8=( x -3)3 6 x 2-31 x +35=0 (2 x-7)(3 x-5)=0, x=(7/2), x=(5/3) x ≠ (5/3),(x-3)>0

Q. The number of solutions of the equation $lo g_{(x - 3)} (x^{3} - 3 x^{2} - 4 x + 8) = 3$ is