SOLUTION: Write the following as a single logarithm ln(x+3)-5ln(x)+4ln(x-2) I can not figure out how to write this. Please help!!!!

Algebra ->  Logarithm Solvers, Trainers and Word Problems -> SOLUTION: Write the following as a single logarithm ln(x+3)-5ln(x)+4ln(x-2) I can not figure out how to write this. Please help!!!!      Log On


   

Question 883207: Write the following as a single logarithm
ln(x+3)-5ln(x)+4ln(x-2)
I can not figure out how to write this. Please help!!!!
Answer by Fombitz(32388) About Me  (Show Source):
You can put this solution on YOUR website!
Use the laws of logarithm
log%28%28a%29%29%2Blog%28%28b%29%29=log%28%28ab%29%29
log%28%28a%29%29-log%28%28b%29%29=log%28%28a%2Fb%29%29
a%2Alog%28%28b%29%29=log%28%28b%5Ea%29%29
.
.
.
ln%28x%2B3%29-5ln%28x%29%2B4ln%28x-2%29=ln%28x%2B3%29-ln%28x%5E5%29%2Bln%28%28x-2%29%5E2%29
ln%28x%2B3%29-5ln%28x%29%2B4ln%28x-2%29=ln%28%28x%2B3%29%2Fx%5E5%29%2Bln%28%28x-2%29%5E2%29
ln%28x%2B3%29-5ln%28x%29%2B4ln%28x-2%29=ln%28%28%28x%2B3%29%28x-2%29%5E2%29%2Fx%5E5%29