點樣解釋1^n=1

to prove 1^a = 1

設 a = p/q p,q 都係整數

1^(p/q) =(1^p)^(1/q)

因為 1^p = 1 (因為1乘幾多次都係1)

(1^p)^(1/q) = 1^(1/q)

而 1^(1/q) 即係問有邊個數 乘q次係 1，當然答案都係1啦

所以 1^a = 1 for all a

即係 a= 兀 都係，因為 兀 本身只係好多個分數加埋，因此 兀 在 1 的 power index 的時候，1^兀 的意義都只係將好多個 1 乘埋一齊，因此最終都係 1

let s say x = 1^n

so log x = n log 1 (log 1 = 0 )
(so the right hand sidae must be 0 no matter what n is)

again log 1 = 0
now log x = 0
so x = 1

(hope it helpful , if you had learn log b4)

2007-11-22 20:21:15 補充：
log(a ^n) = n log a log (a b) = log a + log b log 16 = log (2^4)= 4 log 2 example 2^x = 8 log 2^x = log 8 (log 8 = 3 log 2) x log 2 = 3 log 2 (divide log 2) so x = 3

2007-11-23 23:10:33 補充：
if you still not sure what is log, then you can go to see another of example """"" log 100 """""""" as well (is a qn i answered)