It’s very basic but I’m having trouble to find a way to prove this inequality
(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.
You may just differentiate
f(1)=−1<0 and f is strictly decreasing, then
f(x)<0,x>1, that is