Let $f\left(x\right)=e^{\left\{e^{\left|x\right|}\mathrm{sgn}x\right\}}$  and  $g\left(x\right)=e^{\left[e^{\left|x\right|}\mathrm{sgn}x\right]},x\in R$  where { } and [ ] denotes the fractional and integral part functions, respectively. Also h(x) = ${\log }_e$ (f(x))+ ${\log }_e$ (g(x)) then for real x, h(x) is