SOLUTION: I'm having trouble with this question... and all my calculators give me the same answer which is none of the ones available. Solve the equation log(2+x)-log(x-5)=log 4 answe

Algebra ->  Logarithm Solvers, Trainers and Word Problems -> SOLUTION: I'm having trouble with this question... and all my calculators give me the same answer which is none of the ones available. Solve the equation log(2+x)-log(x-5)=log 4 answe      Log On


   



Question 461479: I'm having trouble with this question... and all my calculators give me the same answer which is none of the ones available.
Solve the equation
log(2+x)-log(x-5)=log 4
answers are
A) 7/2 b 22/3 C 22/-3 D 0
Any help would be appreciated.

Answer by graphmatics(170) About Me  (Show Source):
You can put this solution on YOUR website!
log(2+x)-log(x-5)=log 4
Rules for logarithms says that log(a) - log(b) = log(a/b).
So we get that
log((2+x)/(x-5))= log 4
Clearly
(2+x)/(x-5) = 4
2+x = 4*(x-5)
2+x = 4x - 20
x-4x = -20 -2
3x = -22
x = -22/3
x = 22/-3