Question

Characteristic of logarithm of 2008 to the base 2

Answer 1

1024<2008<2048Now => 2^10<2008<2^11Take log base 2
log2 (2^10) < log 2(2008) < log2(2^11)          Note: [Here log2 is log base 2 not                                                                                      log 2]
=> 10 log2 (2) < log2(2008) < 11 log 2(2)10< log2(2008) <11 --->we know log2(2) =1)Therefore, characteristic log 2(2008) is 10