SOLUTION: I am having a hard time of this question i would really appreciate the help. Solve for x: log(x-2)+ log x = log 3 I just don't do how to put all togther. Thank you!!!!!

Algebra ->  Logarithm Solvers, Trainers and Word Problems -> SOLUTION: I am having a hard time of this question i would really appreciate the help. Solve for x: log(x-2)+ log x = log 3 I just don't do how to put all togther. Thank you!!!!!      Log On


   

Question 224352: I am having a hard time of this question i would really appreciate the help.
Solve for x: log(x-2)+ log x = log 3
I just don't do how to put all togther.
Thank you!!!!!
Answer by solver91311(24713) About Me  (Show Source):
You can put this solution on YOUR website!


The sum of the logs is the log of the product:



So:



If two logs to the same base (here, understood base 10) are equal then their arguments must be equal:



Hence:



Just solve your quadratic. Check BOTH roots for extraneous values considering the domain of the log function.

John