SOLUTION: 1. Solve the logarithmic equation. Be sure to reject any value that is not in the domain of the original logarithmic expressions. Give the exact answer. log5 (x + 2) - log5 x =

Algebra ->  Logarithm Solvers, Trainers and Word Problems -> SOLUTION: 1. Solve the logarithmic equation. Be sure to reject any value that is not in the domain of the original logarithmic expressions. Give the exact answer. log5 (x + 2) - log5 x =       Log On


   

Question 314200: 1. Solve the logarithmic equation. Be sure to reject any value that is not in the domain of the original logarithmic expressions. Give the exact answer.
log5 (x + 2) - log5 x = 2
Answer by Fombitz(32388) About Me  (Show Source):
You can put this solution on YOUR website!
log%285%2C+%28x+%2B+2%29%29-log%285%2C%28+x%29%29+=+2
log%285%2C+%28%28x+%2B+2%29%2Fx%29%29+=+2
%28x+%2B+2%29%2Fx=+5%5E2
x+%2B+2=+25x
24x=2
x=2%2F24
highlight%28x=1%2F12%29
Plug the number into the original equation to verify the solution.