Sunday, May 8, 2016

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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