SOLUTION: could you possibly help us to simplify this logrithm please? log25-log125+1/2log625 ___________ __________ log9 we are trying to divide this by 9 not sure if thi

Algebra ->  Logarithm Solvers, Trainers and Word Problems -> SOLUTION: could you possibly help us to simplify this logrithm please? log25-log125+1/2log625 ___________ __________ log9 we are trying to divide this by 9 not sure if thi      Log On


   

Question 537093: could you possibly help us to simplify this logrithm please?
log25-log125+1/2log625
______________________
log9

we are trying to divide this by 9 not sure if this is writen out correctly for you, thank you very much for your time.
Answer by Earlsdon(6294) About Me  (Show Source):
You can put this solution on YOUR website!
Simplify:
%28Log%2825%29-Log%28125%29%2B%281%2F2%29Log%28625%29%29%2FLog%289%29 Apply the "quotient rule".
%28Log%2825%2F125%29%2B%281%2F2%29Log%28625%29%29%2FLog%289%29 Now apply the "power rule".
%28Log%281%2F5%29%2BLog%28625%29%5E%281%2F2%29%29%2FLog%289%29 Substitute %28625%29%5E%281%2F2%29+=+25
%28Log%281%2F5%29%2BLog%2825%29%29%2FLog%289%29 Now apply the "product rule".
%28Log%28%281%2F5%29%2A%2825%29%29%29%2FLog%289%29 Evaluate the argument in the numerator.
highlight%28Log%285%29%2FLog%289%29%29 This is it! If you need to evaluate, then:
Log%285%29%2FLog%289%29+=+0.69897%2F0.95424=0.7325Approx.