Question Number 127739 by Algoritm last updated on 01/Jan/21
Commented by Ndala last updated on 01/Jan/21
$${y},{z}\in\mathbb{N} \\ $$$$\mathrm{7}^{{z}} >\mathrm{0}\Leftrightarrow\mathrm{2}^{{y}} −{y}^{\mathrm{6}} >\mathrm{0}\Leftrightarrow\mathrm{0}\leqslant{y}\leqslant\mathrm{1} \\ $$$${f}\left({y}\right)=\mathrm{2}^{{y}} −{y}^{\mathrm{6}} \Leftrightarrow\Rightarrow{f}\left(\mathrm{0}\right)={f}\left(\mathrm{1}\right)=\mathrm{1} \\ $$$$\Rightarrow\mathrm{7}^{{z}} =\mathrm{1}\Rightarrow{z}=\mathrm{0} \\ $$$$\mathrm{S}=\left\{\left(\mathrm{1};\mathrm{0}\right);\left(\mathrm{0};\mathrm{0}\right)\right\} \\ $$