Question Number 175148 by Shrinava last updated on 20/Aug/22
Commented by mr W last updated on 21/Aug/22
$${wrong}! \\ $$$${for}\:{a}=−\mathrm{1},\:{b}=\mathrm{1} \\ $$$$\mathrm{2}^{{b}} −\mathrm{2}^{{a}} =\mathrm{2}−\frac{\mathrm{1}}{\mathrm{2}}=\frac{\mathrm{3}}{\mathrm{2}}=\mathrm{1}.\mathrm{5}>\frac{\mathrm{9}\:\mathrm{log}\:\mathrm{2}}{\mathrm{4}}\approx\mathrm{0}.\mathrm{677} \\ $$