Tuesday, 18 March 2014

calculus - How to prove that log(x)1?

It's very basic but I'm having trouble to find a way to prove this inequality



$\log(x)



when x>1



(log(x) is the natural logarithm)




I can think about the two graphs but I can't find another way to prove it, and, besides that, I don't understand why should it not hold if x<1



Can anyone help me?



Thanks in advance.

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