SOLUTION: if ln(2)=.693, ln(3)=1.099, ln(a)=2.886, ln(b)=.75, then what does ln(4/sqrt(a)) equal?

Algebra ->  Logarithm Solvers, Trainers and Word Problems -> SOLUTION: if ln(2)=.693, ln(3)=1.099, ln(a)=2.886, ln(b)=.75, then what does ln(4/sqrt(a)) equal?      Log On


   

Question 976904: if ln(2)=.693, ln(3)=1.099, ln(a)=2.886, ln(b)=.75, then what does ln(4/sqrt(a)) equal?
Answer by FrankM(1040) About Me  (Show Source):
You can put this solution on YOUR website!
ln%284%2F%28a%29%5E%281%2F2%29%29
now
ln%28a%2Fb%29=ln%28a%29-ln%28b%29
so

ln%284%29-ln%28a%29%5E%281%2F2%29%29
and
ln%28a%29%5E%28b%29+=+b%28ln%28a%29%29
so
ln%284%29-%281%2F2%29%28ln%28a%29%29%29
2%28ln%282%29%29-%281%2F2%29%28ln%28a%29%29%29
%282%2A.693%29-%281%2F2%29%282.886%29
-.0567