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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

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  1. 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

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