SOLUTION: Solve. Where appropriate, include approximations to the nearest thousandth. If no solution exists, state this. log(x+5)-log(x -3)=5 Possible answers: A) 5 B) 3/2 C) -3/2

Algebra ->  Logarithm Solvers, Trainers and Word Problems -> SOLUTION: Solve. Where appropriate, include approximations to the nearest thousandth. If no solution exists, state this. log(x+5)-log(x -3)=5 Possible answers: A) 5 B) 3/2 C) -3/2      Log On


   

Question 728311: Solve. Where appropriate, include approximations to the nearest thousandth. If no solution exists, state this.
log(x+5)-log(x -3)=5
Possible answers:
A) 5
B) 3/2
C) -3/2
D) No solution
E) -5
Answer by MathLover1(20850) About Me  (Show Source):
You can put this solution on YOUR website!
log%28x%2B5%29-log%28x+-3%29=5..it's log base 10
log%2810%2C%28x%2B5%29%29-log%2810%2C%28x+-3%29%29=5

log%28%28x%2B5%29%29%2Flog%2810%29-log%28%28x+-3%29%29%2Flog%2810%29=5

%28log%28%28x%2B5%29%29-log%28%28x+-3%29%29%29%2Flog%2810%29=5

log%28%28x%2B5%29%2F%28x+-3%29%29=5log%2810%29

log%28%28x%2B5%29%2F%28x+-3%29%29=log%2810%5E5%29...since log same, than =>

%28x%2B5%29%2F%28x+-3%29=10%5E5

%28x%2B5%29%2F%28x+-3%29=100000

%28x%2B5%29=100000%28x+-3%29

x%2B5=100000x+-300000

300000%2B5=100000x+-x

300005=99999x

300005%2F99999=x.....this is solution if base is 10, same solution we gate if we have the natural log

you are given these options for an answer:
A) 5
B) 3/2
C) -3/2
D) No solution
E) -5
and none of them is acceptable