- Given that
$$\log _ { 2 } ( x + 3 ) + \log _ { 2 } ( x + 10 ) = 2 + 2 \log _ { 2 } x$$
- show that
$$3 x ^ { 2 } - 13 x - 30 = 0$$
- Write down the roots of the equation
$$3 x ^ { 2 } - 13 x - 30 = 0$$
- Hence state which of the roots in part (b)(i) is not a solution of
$$\log _ { 2 } ( x + 3 ) + \log _ { 2 } ( x + 10 ) = 2 + 2 \log _ { 2 } x$$
giving a reason for your answer.