SOLUTION: I don't know how to go about solving this, would appreciate some help. It is on logarithms (q1) using the laws of logarithms : express In(a)-4In(b) as a single logarithm; (ii) fu

Algebra ->  Logarithm Solvers, Trainers and Word Problems -> SOLUTION: I don't know how to go about solving this, would appreciate some help. It is on logarithms (q1) using the laws of logarithms : express In(a)-4In(b) as a single logarithm; (ii) fu      Log On


   

Question 891121: I don't know how to go about solving this, would appreciate some help. It is on logarithms (q1) using the laws of logarithms : express In(a)-4In(b) as a single logarithm;
(ii) fully expand 5log((s(sqrt(t))) as a sum of logarithmic terms.
I hope this question makes some form of sense.
Answer by ankor@dixie-net.com(22740) About Me  (Show Source):
You can put this solution on YOUR website!
express In(a)-4In(b) as a single logarithm;
Write is as: ln(a) - ln(b^4)
subtracting log is divide
ln%28a%2Fb%5E4%29


(ii) fully expand 5log((s(sqrt(t))) as a sum of logarithmic terms.
rewrite this using exponent for sq rt
5log%28%28s%2At%5E%281%2F2%29%29%29
then
log%28%28s%5E5%2At%5E%285%2F2%29%29%29
Expand
log%28%28s%5E5%29%29+%2B+log%28%28t%5E%285%2F2%29%29%29 = 5log%28%28s%29%29 + 5%2F2log%28%28t%29%29