SOLUTION: log2 (x-2)^2 -log2 (x+6)=2

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Question 990681: log2 (x-2)^2 -log2 (x+6)=2
Answer by ikleyn(52803) About Me  (Show Source):
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log%282%2C%28%28x-2%29%5E2%29%29 - log%282%2C%28x%2B6%29%29 = 2.

%28x-2%29%5E2%2F%28x%2B6%29 = 4,

x%5E2+-+4x+%2B+4 = 4x+%2B+24,

x%5E2+-+8x+-+20 = 0.

The roots are  -2  and  10.

Answer.  The roots are  -2  and  10.