2X + 2 × 27x/ (x - 1) = 9⇒ 2x + 2 × 33x/ (x - 1) = 32⇒ 2x + 2 = 3[2 - {(3x/x - 1)}]⇒ 2x + 2 = 3[-(x + 2)/(x - 1)]TAKING log⇒ (x + 2)log2 = -[(x + 2)/(x - 1)]log3⇒ x - 1 = -(log3/log2)⇒ x = 1 - (log3/log2)And(x + 2) = 0 ⇒ x = -2∴ Roots of the equation = -2, 1 - (log3/log2)