SOLUTION: Solve 1/2log(4x+5) = logx

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Question 105766: Solve 1/2log(4x+5) = logx
Answer by HyperBrain(694) About Me  (Show Source):
You can put this solution on YOUR website!
1%2F2log%284x%2B5%29+=+log%28x%29
log%28%284x%2B5%29%5E%281%2F2%29%29=log%28x%29
%284x%2B5%29%5E%281%2F2%29=x
%28%284x%2B5%29%5E%281%2F2%29%29%5E2=x%5E2
4x%2B5=x%5E2
x%5E2-4x-5=0

By the quadratic formula,
x=%284%2B-sqrt%284%5E2-4%2A1%2A%28-5%29%29%29%2F%282%2A1%29
x=%284%2B-sqrt%2816%2B20%29%29%2F%282%29
x=%284%2B-sqrt%2836%29%29%2F%282%29
x=%284%2B-+6%29%2F%282%29
x=%284%2B6%29%2F%282%29 or x=%284-6%29%2F%282%29
x=10%2F2 or x=-2%2F2
x=5 or x=-1

Power up,
HyperBrain!