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solve the equation

log(1000 x^2)=(log x)^2

Like this:

$<br /> log(1000 x^2) = [log(x)]^2 \\<br /> log(1000) + 2 log(x) = [log(x)]^2 \\<br /> (log(x))^2 - 2 log (x) - log(1000) = 0<br />$

Now use the quatratic equation to solve for log(x), and from that you can determine x.

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