Question

2 la puterea50+2 la puterea52 cu 5 la puterea 21

Answer 1

2⁵⁰+2⁵² = 2⁵⁰·(1+2²) = 5·(2⁵⁰) = 5·(2⁵)¹⁰ = 5·(32)¹⁰

5²¹ = 5·(5²⁰) = 5·(5²)¹⁰= 5·(25¹⁰)

32>25 => 5·(32)¹⁰>5·(25¹⁰)  => 2⁵⁰+2⁵² > 5²¹