SOLUTION: what is the value of x? please explain by showing work 2 - Log 3x = Log (x/12) + 2

Algebra ->  Exponential-and-logarithmic-functions -> SOLUTION: what is the value of x? please explain by showing work 2 - Log 3x = Log (x/12) + 2      Log On


   

Question 575448: what is the value of x? please explain by showing work
2 - Log 3x = Log (x/12) + 2
Answer by solver91311(24713) About Me  (Show Source):
You can put this solution on YOUR website!




Add to both sides and add to both sides:



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



But



and



so



Solve the quadratic, but discard the negative root because the domain of the log function is the positive Reals.

John

My calculator said it, I believe it, that settles it
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