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 log10β2 is that it lies between:
Answer Choices:
A. 103β and 114β
B. 103β and 124β
C. 103β and 134β
D. 103β and 18240β
E. 113β and 13240β
Solution:
Since 210=1024>103=1000,10log10β2>3 so that log10β2>103β. Since 213=8192<104=10000, 13log10β2<4 so that log10β2<134β.