Given that 2 log base2 (x+15) - log base2 x = 6

1.Show that x^2 -34x +225 = 0

2. Hence or otherwise solve the equation 2 log base 2 (x+15) - log base 2 x =6

1 answer

2 log base2 (x+15) - log base2 x = 6
log(x+15)^2 - logx = 6
(x+15)^2/x = 2^6
(x+15)^2 = 64x
x^2+30x+225 = 64x
x^2-34x+225 = 0