已知n為正整數且2n次方為100位數，若log2=0.3010.求n的範圍?

99<=log 2^n<100
99 <= n log 2 < 100
99/log 2 <= n < 100/log 2
328.9 <= n < 332.2
n=329, 330, 331, 332

已知n為正整數且2的n次方為100位數，若log2=0.3010.求n的範圍?
Sol
log2=0.3010
0<log2<1
1<log20<2
100<log[2^(n)]<101
100<nlog2<101
100<0.3010n<101
332.22<n<335.5
333<=n<=335
n=333 or 334 or 335