SOLUTION: If log a=4 and log b =2 what is the numberical value of log radical (a/b^3)

Algebra ->  Exponential-and-logarithmic-functions -> SOLUTION: If log a=4 and log b =2 what is the numberical value of log radical (a/b^3)      Log On


   

Question 835257: If log a=4 and log b =2 what is the numberical value of
log radical (a/b^3)
Answer by LinnW(1048) About Me  (Show Source):
You can put this solution on YOUR website!
log%28sqrt%28a%2F%28b%5E3%29%29%29
log%28sqrt%28a%29%2Fsqrt%28b%5E3%29%29%29
log%28sqrt%28a%29%29-log%28sqrt%28b%5E3%29%29
log%28a%5E%281%2F2%29%29-log%28%28b%5E3%29%5E%281%2F2%29%29
log%28a%5E%281%2F2%29%29-log%28%28b%29%5E%283%2F2%29%29
%281%2F2%29%2Alog%28a%29-%283%2F2%29%2Alog%28%28b%29%29
now substitute 4 for log(a) and 2 for log(b)
%281%2F2%29%2A4-%283%2F2%29%2A2
2-3
-1