Question

Find x if log_(4)(x^(2)-4x)=log_(4)(5x+2)​

Answer 1

Answer:

After comparing,

${x}^{2} - 4x = 5x + 2 \\ {x}^{2} - 4x - 5x - 2 = 0 \\ {x}^{2} - 9x - 2 = 0 \\ x = \frac{9 + \sqrt{ {9}^{2} + 4 \times 2} }{2} = \frac{9 + \sqrt{89} }{2} \\ ans.$