question dse2010

[archita]

how to solve if 5^44 > 4^53?

ans-it is false,

[Amit Goyal]

5^5 = 3125 < 4096 = 4^6,
This implies
(5^5)^9  <  (4^6)^9 i.e.
5^45 < 4^54
Dividing LHS by 5 and RHS by 4 will preserve the inequality:
5^44 < 4^53