SOLUTION: How does this: {{{ln(x-y)/((1/t)-(1/T))}}} become this: {{{ -(t T log(x-y))/(t-T)}}} through algebraic manipulation? Thanks

Algebra ->  Logarithm Solvers, Trainers and Word Problems -> SOLUTION: How does this: {{{ln(x-y)/((1/t)-(1/T))}}} become this: {{{ -(t T log(x-y))/(t-T)}}} through algebraic manipulation? Thanks      Log On


   

Question 852560: How does this: ln%28x-y%29%2F%28%281%2Ft%29-%281%2FT%29%29
become this: +-%28t+T+log%28x-y%29%29%2F%28t-T%29
through algebraic manipulation? Thanks
Found 2 solutions by Alan3354, ewatrrr:
Answer by Alan3354(69443) About Me  (Show Source):
You can put this solution on YOUR website!
Multiply the NUM and DEN by t*T, then by -1

Answer by ewatrrr(24785) About Me  (Show Source):
You can put this solution on YOUR website!
ln%28x-y%29%2F%28%281%2Ft%29-%281%2FT%29%29+=+-ln%28x-y%29%2F%28%281%2FT%29-%281%2Ft%29%29+ = (-ln(x-y)/(t-T))/(tT)= -(t* T log(x-y)/(t-T)