zhenwen 发表于 2005-7-6 15:08:25

[评论]数学趣题(76): 整数幂的首位数字

1) log(2^130)=130*log2=130*0.301=39.13
so 39 digits
then 2^(0.13)=1.09
First digit is 1.
2) First, change the subjust to 2^128 first digit is 1.
then change to 10^0<10^x <10^(log2)
the answer is about 40
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