Question

determinatu nr nat a,b,cstiind ca": 2la puterea a+b+2la putereab+c=40

Answer 1

2^(a+b) +2^(b+c) = 2³ ·5
2^a ·2^b + 2^b ·2^c = 2³ ·5
2^b (2^a + 2^c ) = 2^3 ·5 ⇒  2^b = 2³    b = 3
2^a +2^c = 5 = 2^0 +2² ⇒  a = 0  c =2