SOLUTION: with the exponet of 5 radical sign over 125/.55 show process using logarithms (sorry index of 5)

Algebra ->  Logarithm Solvers, Trainers and Word Problems -> SOLUTION: with the exponet of 5 radical sign over 125/.55 show process using logarithms (sorry index of 5)      Log On


   

Question 68563: with the exponet of 5 radical sign over 125/.55 show process using logarithms (sorry index of 5)
Answer by Edwin McCravy(20060) About Me  (Show Source):
You can put this solution on YOUR website!
with the exponet of 5 radical sign over 125/.55 show process using logarithms (sorry index of 5)
root%285%2C125%2F.55%29 =
%28125%2F.55%29%5E%281%2F5%29 =
Now use the principle that X+=+10%5E%28log%28X%29%29 to rewrite the above:
10^log%28%28125%2F.55%29%5E%281%2F5%29%29
Now use the principle that log%28X%5EN%29+=+N%2Alog%28X%29 to rewrite 
the exponent of 10:
10^%281%2F5%29log%28%28125%2F.55%29%29
Now use the principle log%28X%2FY%29+=+log%28X%29-log%28Y%29 to rewrite
the above as:

10^%281%2F5%29%28log%28125%29-log%28.55%29%29

Now use a calculator to get log(125) = 2.096910013 and
log(.55) = -.2596373105

10^%281%2F5%29%282.096910013-%28-.2596373105%29%29
or
10^%281%2F5%29%282.096910013%2B.2596373105%29
or
10^%281%2F5%29%282.356547324%29 
or
10^%28.4713094647%29
or
2.960121005
Edwin