Question

Aflati numerele naturale x y z card verifica egalitatea 2 la puteew a + 2 is p uterea y + 2 la p uterea z = 28

Answer 1

2^x + 2^y + 2^z = 28

28 = 2^4 + 2^3 + 2^2

x,y,z poate lua valorile 4,3,2.

Answer 2

2^x + 2^y +2^z=28

2^x + 2^y +2^z=4+8+16

2^x + 2^y +2^z=2^2 +2^3 +2^4

x=2; y=3; z=4

solutiile sunt numerele 2, 3, 4 in orice combinatie

(x,y,z)={(2, 3, 4), (2, 4, 3), (3, 2, 4), (3, 4, 2), (4, 2, 3), (4, 3, 2)}