Question

comparati numerele:2 la puterea 111x5 la puterea38 si 3 la puterea131

Answer 1

2^111=(2^3)37=8^37
5^38=(5^2)19=25^19

3^131=(3^74) * (3^57)=(3^2)^37 * (3^3)^19=9^37 * 27^19

Cum
8^37 < 9^37
si
25^19 < 27^19
rezulta ca
8^37 * 25^19 < 9^37 * 27^19
adica
2^111 * 5^38 < 3^113