Problem: If one uses only the tabular information 103=1000,104=10,000,210=1024, 211=2048,212=4096,213=8192, then the strongest statement one can make for log10​2 is that it lies between:
Answer Choices:
A. 103​ and 114​
B. 103​ and 124​
C. 103​ and 134​
D. 103​ and 18240​
E. 113​ and 13240​
Solution:
Since 210=1024>103=1000,10log10​2>3 so that log10​2>103​. Since 213=8192<104=10000, 13log10​2<4 so that log10​2<134​.