SOLUTION: Solve the log function and be sure to reject any value of x that is not the domain of the original log expression. give exact answer log(x-12) -log 2 = log (5x+2) thank you!

Algebra ->  Logarithm Solvers, Trainers and Word Problems -> SOLUTION: Solve the log function and be sure to reject any value of x that is not the domain of the original log expression. give exact answer log(x-12) -log 2 = log (5x+2) thank you!      Log On


   

Question 898311: Solve the log function and be sure to reject any value of x that is not the domain of the original log expression. give exact answer
log(x-12) -log 2 = log (5x+2)
thank you!
Answer by josgarithmetic(39618) About Me  (Show Source):
You can put this solution on YOUR website!
Combine Logs;
Equate the arguments;
Solve resulting equation.

log%28%28%28x-12%29%2F%282%29%29%29=log%28%285x%2B2%29%29

%28x-12%29%2F2=5x%2B2

x-12=2%285x%2B2%29
x-12=10x%2B4
-12=9x%2B4
-12-4=9x
9x=-16
highlight%28x=-16%2F9%29