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anonymous
 one year ago
How do you solve this,step by step :
ln(x)*(2lnx+1)>=0
anonymous
 one year ago
How do you solve this,step by step : ln(x)*(2lnx+1)>=0

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zzr0ck3r
 one year ago
Best ResponseYou've already chosen the best response.2\(ab\ge 0\) implies they are both positive or both negative. So let us assume they are both positive. \(\ln(x)\ge0\) when \(x\ge1\) and \(2\ln(x)+1\ge \) implies \(\ln(x)\ge \frac{1}{2}\) implies \(x\ge \frac{1}{\sqrt{e}}\)\) Since \(1> \frac{1}{\sqrt{e}}\) we have that the whole thing is nonnegative for \(x\ge 1\)

zzr0ck3r
 one year ago
Best ResponseYou've already chosen the best response.2Can you do the same thing for when they are both negative?

zzr0ck3r
 one year ago
Best ResponseYou've already chosen the best response.2Remembering the domain for \(\ln(x) \) is \(x>0\).

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0Thank you very much :)
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