SOLUTION: log(3x-3)=log(x+1)+log4 Solve Do I re-write as log(3x-3)-log(x+1)=log4 to start?

Algebra ->  Logarithm Solvers, Trainers and Word Problems -> SOLUTION: log(3x-3)=log(x+1)+log4 Solve Do I re-write as log(3x-3)-log(x+1)=log4 to start?      Log On


   

Question 295315: log(3x-3)=log(x+1)+log4 Solve
Do I re-write as log(3x-3)-log(x+1)=log4 to start?
Answer by Fombitz(32388) About Me  (Show Source):
You can put this solution on YOUR website!
There is an easier method available.
log%28%283x-3%29%29=log%28%28x%2B1%29%29%2Blog%28%284%29%29
log%28%283x-3%29%29=log%28%284%28x%2B1%29%29%29
3x-3=4%28x%2B1%29
3x-3=4x%2B4
-x=7
x=-7
However, since the log function only takes positive arguments,
3x-3%3E0
3x%3E3
x%3E1
The solution must be greater than 1.
No solution.