駭客數學p7-4

[gncpkat]

(B)比較a=3^1/2，b=4^1/3，c=5^1/4之大小
(A)c >a> b (B)a> b> c (C)b> a >c (D) a> c> b

[thepiano]

取對數

loga = (1/2)log3 ≒ 0.23
logb = (1/3)log4 = (2/3)log2 ≒ 0.2
logc = (1/4)log5 ≒ 0.17

loga > logb > logc
a > b > c

[gncpkat]

謝謝