Logarithmic Inequality

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Jan 17th 2013, 01:14 PM
JohnTerry

Logarithmic Inequality

How to solve this inequality?

ln²(x)≥2-ln(x)

Thanks in advance!
Jan 17th 2013, 01:46 PM
Plato

Re: Logarithmic Inequality

Quote:

Originally Posted by JohnTerry

How to solve this inequality?

ln²(x)≥2-ln(x)

What does this have to do with the solution?
$\begin{align*}u^2+u-2 &\ge 0\\ (u+2)(u-1)&\ge 0 \\u\le-2 &\text{ or }u\ge 1\end{align*}$ .

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