SOLUTION: express the ff as a single logarithm. {{{-log(4) + 3*log(x-3) + 2*log(y) - (1/2)*log(4)}}}

Algebra ->  Logarithm Solvers, Trainers and Word Problems -> SOLUTION: express the ff as a single logarithm. {{{-log(4) + 3*log(x-3) + 2*log(y) - (1/2)*log(4)}}}      Log On


   

Question 1126527: express the ff as a single logarithm.
-log%284%29+%2B+3%2Alog%28x-3%29+%2B+2%2Alog%28y%29+-+%281%2F2%29%2Alog%284%29
Answer by ankor@dixie-net.com(22740) About Me  (Show Source):
You can put this solution on YOUR website!
express the ff as a single logarithm.
-log%284%29+%2B+3%2Alog%28x-3%29+%2B+2%2Alog%28y%29+-+%281%2F2%29%2Alog%284%29
use exponents

4 with an exponent of 1/2 is 2

combine
log%28%28%28x-3%29%5E3%2Ay%5E2%29%2F%284%2A2%29%29%29 = log%28%28%28%28x-3%29%5E3%2Ay%5E2%29%2F%288%29%29%29%29