各位數學高手幫下我....(關於log)20點.....

Q.1
64^71 = 2^(6 x 71) = 2^426.
Q.2
64^71 = 10^x
71log64 = x. Therefore,
x= 71 x 1.8062= 128.2
That means there are 128 digits.
(Note: 426 digits is for binary number system).

2008-07-22 19:28:07 補充：
Correction: 10^128 should be 129 digits, not 128, sorry.

1)64^71次方係幾多?
6471 = 26 x 71 = 2426


2)64^71次方有多少位值?
6471 = 26 x 71 = 2426
log6471 = 426log2
因此
6471有 427 位值