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May 25, 2016 at 8:16 comment added Fermat @joriki Yes, you are right.
May 25, 2016 at 8:12 comment added joriki @Fermat: Because it has a maximum at approximately $8.6$.
May 25, 2016 at 8:12 comment added Fermat @barakmanos Why don't you consider the function $f(x)=\frac{log x}{10+x}$ and see where it is increasing or decreasing?
May 25, 2016 at 8:08 comment added barak manos The inequiality is not obvious IMO. LHS numerator is larger than RHS numerator, and LHS denominator is larger than RHS denominator. If you meant that one could use a calculator at this point, then one could also use a calculator for the original expressions.
May 25, 2016 at 8:06 history answered mookid CC BY-SA 3.0