Question

comparati nr 2^30 si 3^20, 5^34 si 3^51, 2^155 si 3^93, 2^111×5^38 si 3^131, 10^74 si 6^123...​

Answer 1

Răspuns:

2^30=(2^3)^10=8^10

3^20=(3^2)^10=9^10 =>2^30 < 3^20

5^34=(5^2)^17=25^17

3^51=(3^3)^17=27^17 =>5^34 < 3^51

2^155=(2^5)^31=32^31

3^93=(3^3)^31=27^31 =>3^93 < 2^155

2^111 • 5^38=(2•5)^38 • 2^73=10^38 • 2^73

Evident mai mare decât 3^131

10^74=(10^2)^37=100^37

6^123=(6^3)^41=216^41 =>100^37 < 216^41