SOLUTION: Please help me solve the following problem. At what point(s) do the graphs of y=2log(x) and y=log(2x) intersect?

Question 243077: Please help me solve the following problem.
At what point(s) do the graphs of y=2log(x) and y=log(2x) intersect?
Answer by stanbon(75887) (Show Source): You can put this solution on YOUR website!
At what point(s) do the graphs of y=2log(x) and y=log(2x) intersect?
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Substitute to get:
2log(x) = log(2x)
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log(x^2) = log 2x
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x^2 = 2x
x^2-2x = 0
x(x-2) = 0
x = 0 or x=2
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x cannot be zero because log(2*0) = log(0) does not exist.
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So, x = 2
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Then y = log(2x) = log(4) = 0.6021
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Point of intersection: (2,0.6021)
Cheers,
Stan H.
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