SOLUTION: please help and show me how to solve 2log(2)(x-6)+log(2)2=5

Question 813840: please help and show me how to solve 2log(2)(x-6)+log(2)2=5
Answer by stanbon(75887) (Show Source): You can put this solution on YOUR website!
show me how to solve
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2log(2)(x-6)+log(2)2=5
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log2(x-6)^2 + 1 = 5
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log2(x-6)^2 = 4
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(x-6)^2 = 2^4
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x^2-12x+36 = 16
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x^2 -12x+10 = 0
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x = [12+-sqrt(144-4*10)]/2
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x = [12+-sqrt(104)]/2
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x = [12+-sqrt(4*26)]/2
Positive solution:
x = 6 + sqrt(26))
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Cheers,
Stan H.
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