B BrainMan New member Joined Oct 24, 2007 Messages 26 Nov 21, 2007 #1 Assume that x is a positive real number. Prove the following inequality: (x-1)^2 is greater than or equal to x[(ln(x))^2]. I'm not really sure how to do this. Any help you can offer would be greatly appreciated.
Assume that x is a positive real number. Prove the following inequality: (x-1)^2 is greater than or equal to x[(ln(x))^2]. I'm not really sure how to do this. Any help you can offer would be greatly appreciated.
tkhunny Moderator Staff member Joined Apr 12, 2005 Messages 11,325 Nov 22, 2007 #2 It's not coming to me right away. It may be beneficial to separate and prove two pieces, x < 1 and x > 1. Then there would be some Intermediate Value ideas.
It's not coming to me right away. It may be beneficial to separate and prove two pieces, x < 1 and x > 1. Then there would be some Intermediate Value ideas.
