Dec 14, 2017

x = 7 or x = -2

#### Explanation:

Well, if log(A) = log(B), then, logically, A = B.

So, you can write: ${x}^{2} - 9 = 5 x + 5$

If you subtract $5 x + 5$ from both sides, you have:

${x}^{2} - 5 x - 14 = 0$. Which is a quadratic equation, which you probably know how to solve, but for completeness, we will proceed. By inspection, you can factor it:

$\left(x - 7\right) \left(x + 2\right) = 0$

This equation is true when x = 7 or x = -2

GOOD LUCK